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Finding the Fourth Proportional to 47,668,507.80, 71,502,761.70 and 36,906,827.55

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Solution

The fourth proportional to 47,668,507.80, 71,502,761.70 and 36,906,827.55 is: 55,360,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668,507.80 : 71,502,761.70 = 36,906,827.55 : x
  2. Step 2: Convert to fraction form
    47,668,507.80/71,502,761.70 = 36,906,827.55/x
  3. Step 3: Cross multiply
    47,668,507.80x = 71,502,761.70 × 36,906,827.55
  4. Step 4: Simplify right side
    47,668,507.80x = 2,638,940,095,410,644.50
  5. Step 5: Solve for x
    x = 2,638,940,095,410,644.50/47,668,507.80
  6. Step 6: Final answer
    x = 55,360,241.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.