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Finding the Fourth Proportional to 47,659.49, 71,489.75 and 14,379.84

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Solution

The fourth proportional to 47,659.49, 71,489.75 and 14,379.84 is: 21,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,659.49 : 71,489.75 = 14,379.84 : x
  2. Step 2: Convert to fraction form
    47,659.49/71,489.75 = 14,379.84/x
  3. Step 3: Cross multiply
    47,659.49x = 71,489.75 × 14,379.84
  4. Step 4: Simplify right side
    47,659.49x = 1,028,011,166.64
  5. Step 5: Solve for x
    x = 1,028,011,166.64/47,659.49
  6. Step 6: Final answer
    x = 21,569.92

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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.