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Finding the Fourth Proportional to 31,565.26, 47,355.60 and 10,505.26

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Solution

The fourth proportional to 31,565.26, 47,355.60 and 10,505.26 is: 15,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.26 : 47,355.60 = 10,505.26 : x
  2. Step 2: Convert to fraction form
    31,565.26/47,355.60 = 10,505.26/x
  3. Step 3: Cross multiply
    31,565.26x = 47,355.60 × 10,505.26
  4. Step 4: Simplify right side
    31,565.26x = 497,482,890.46
  5. Step 5: Solve for x
    x = 497,482,890.46/31,565.26
  6. Step 6: Final answer
    x = 15,760.46

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