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Finding the Fourth Proportional to 47,561.45, 71,412.03 and 46,721.48

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Solution

The fourth proportional to 47,561.45, 71,412.03 and 46,721.48 is: 70,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,561.45 : 71,412.03 = 46,721.48 : x
  2. Step 2: Convert to fraction form
    47,561.45/71,412.03 = 46,721.48/x
  3. Step 3: Cross multiply
    47,561.45x = 71,412.03 × 46,721.48
  4. Step 4: Simplify right side
    47,561.45x = 3,336,475,374.34
  5. Step 5: Solve for x
    x = 3,336,475,374.34/47,561.45
  6. Step 6: Final answer
    x = 70,150.84

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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.