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Finding the Fourth Proportional to 62,471.64, 86,242.14 and 42,434.52

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Solution

The fourth proportional to 62,471.64, 86,242.14 and 42,434.52 is: 58,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,471.64 : 86,242.14 = 42,434.52 : x
  2. Step 2: Convert to fraction form
    62,471.64/86,242.14 = 42,434.52/x
  3. Step 3: Cross multiply
    62,471.64x = 86,242.14 × 42,434.52
  4. Step 4: Simplify right side
    62,471.64x = 3,659,643,814.67
  5. Step 5: Solve for x
    x = 3,659,643,814.67/62,471.64
  6. Step 6: Final answer
    x = 58,580.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.