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Finding the Fourth Proportional to 31,132.47, 46,693.68 and 8,940.80

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Solution

The fourth proportional to 31,132.47, 46,693.68 and 8,940.80 is: 13,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,132.47 : 46,693.68 = 8,940.80 : x
  2. Step 2: Convert to fraction form
    31,132.47/46,693.68 = 8,940.80/x
  3. Step 3: Cross multiply
    31,132.47x = 46,693.68 × 8,940.80
  4. Step 4: Simplify right side
    31,132.47x = 417,478,854.14
  5. Step 5: Solve for x
    x = 417,478,854.14/31,132.47
  6. Step 6: Final answer
    x = 13,409.76

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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.