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Finding the Fourth Proportional to 31,875.90, 47,812.62 and 8,502.13

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Solution

The fourth proportional to 31,875.90, 47,812.62 and 8,502.13 is: 12,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.90 : 47,812.62 = 8,502.13 : x
  2. Step 2: Convert to fraction form
    31,875.90/47,812.62 = 8,502.13/x
  3. Step 3: Cross multiply
    31,875.90x = 47,812.62 × 8,502.13
  4. Step 4: Simplify right side
    31,875.90x = 406,509,110.88
  5. Step 5: Solve for x
    x = 406,509,110.88/31,875.90
  6. Step 6: Final answer
    x = 12,752.87

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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.