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Finding the Fourth Proportional to 31,057.66, 46,528.17 and 24,098.14

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Solution

The fourth proportional to 31,057.66, 46,528.17 and 24,098.14 is: 36,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.66 : 46,528.17 = 24,098.14 : x
  2. Step 2: Convert to fraction form
    31,057.66/46,528.17 = 24,098.14/x
  3. Step 3: Cross multiply
    31,057.66x = 46,528.17 × 24,098.14
  4. Step 4: Simplify right side
    31,057.66x = 1,121,242,354.60
  5. Step 5: Solve for x
    x = 1,121,242,354.60/31,057.66
  6. Step 6: Final answer
    x = 36,101.96

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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.