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Finding the Fourth Proportional to 31,053.20, 42,854.16 and 16,906.16

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Solution

The fourth proportional to 31,053.20, 42,854.16 and 16,906.16 is: 23,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.20 : 42,854.16 = 16,906.16 : x
  2. Step 2: Convert to fraction form
    31,053.20/42,854.16 = 16,906.16/x
  3. Step 3: Cross multiply
    31,053.20x = 42,854.16 × 16,906.16
  4. Step 4: Simplify right side
    31,053.20x = 724,499,285.63
  5. Step 5: Solve for x
    x = 724,499,285.63/31,053.20
  6. Step 6: Final answer
    x = 23,330.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.