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Finding the Fourth Proportional to 31,053.88, 42,854.51 and 16,906.83

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Solution

The fourth proportional to 31,053.88, 42,854.51 and 16,906.83 is: 23,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.88 : 42,854.51 = 16,906.83 : x
  2. Step 2: Convert to fraction form
    31,053.88/42,854.51 = 16,906.83/x
  3. Step 3: Cross multiply
    31,053.88x = 42,854.51 × 16,906.83
  4. Step 4: Simplify right side
    31,053.88x = 724,533,915.30
  5. Step 5: Solve for x
    x = 724,533,915.30/31,053.88
  6. Step 6: Final answer
    x = 23,331.51

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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.