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Finding the Fourth Proportional to 31,001.62, 46,502.46 and 10,225.12

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Solution

The fourth proportional to 31,001.62, 46,502.46 and 10,225.12 is: 15,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001.62 : 46,502.46 = 10,225.12 : x
  2. Step 2: Convert to fraction form
    31,001.62/46,502.46 = 10,225.12/x
  3. Step 3: Cross multiply
    31,001.62x = 46,502.46 × 10,225.12
  4. Step 4: Simplify right side
    31,001.62x = 475,493,233.80
  5. Step 5: Solve for x
    x = 475,493,233.80/31,001.62
  6. Step 6: Final answer
    x = 15,337.69

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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.