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Finding the Fourth Proportional to 31,053.84, 42,854.46 and 16,906.68

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Solution

The fourth proportional to 31,053.84, 42,854.46 and 16,906.68 is: 23,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.84 : 42,854.46 = 16,906.68 : x
  2. Step 2: Convert to fraction form
    31,053.84/42,854.46 = 16,906.68/x
  3. Step 3: Cross multiply
    31,053.84x = 42,854.46 × 16,906.68
  4. Step 4: Simplify right side
    31,053.84x = 724,526,641.79
  5. Step 5: Solve for x
    x = 724,526,641.79/31,053.84
  6. Step 6: Final answer
    x = 23,331.31

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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.