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Finding the Fourth Proportional to 41,866.56, 62,809.02 and 13,785.48

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Solution

The fourth proportional to 41,866.56, 62,809.02 and 13,785.48 is: 20,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,866.56 : 62,809.02 = 13,785.48 : x
  2. Step 2: Convert to fraction form
    41,866.56/62,809.02 = 13,785.48/x
  3. Step 3: Cross multiply
    41,866.56x = 62,809.02 × 13,785.48
  4. Step 4: Simplify right side
    41,866.56x = 865,852,489.03
  5. Step 5: Solve for x
    x = 865,852,489.03/41,866.56
  6. Step 6: Final answer
    x = 20,681.24

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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.