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Finding the Fourth Proportional to 31,929.39, 44,057.12 and 17,779.50

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Solution

The fourth proportional to 31,929.39, 44,057.12 and 17,779.50 is: 24,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,929.39 : 44,057.12 = 17,779.50 : x
  2. Step 2: Convert to fraction form
    31,929.39/44,057.12 = 17,779.50/x
  3. Step 3: Cross multiply
    31,929.39x = 44,057.12 × 17,779.50
  4. Step 4: Simplify right side
    31,929.39x = 783,313,476.14
  5. Step 5: Solve for x
    x = 783,313,476.14/31,929.39
  6. Step 6: Final answer
    x = 24,532.68

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