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Finding the Fourth Proportional to 31,568.90, 47,355.88 and 10,508.18

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Solution

The fourth proportional to 31,568.90, 47,355.88 and 10,508.18 is: 15,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568.90 : 47,355.88 = 10,508.18 : x
  2. Step 2: Convert to fraction form
    31,568.90/47,355.88 = 10,508.18/x
  3. Step 3: Cross multiply
    31,568.90x = 47,355.88 × 10,508.18
  4. Step 4: Simplify right side
    31,568.90x = 497,624,111.10
  5. Step 5: Solve for x
    x = 497,624,111.10/31,568.90
  6. Step 6: Final answer
    x = 15,763.11

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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.