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Finding the Fourth Proportional to 31,053.61, 42,854.16 and 16,906.42

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Solution

The fourth proportional to 31,053.61, 42,854.16 and 16,906.42 is: 23,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.61 : 42,854.16 = 16,906.42 : x
  2. Step 2: Convert to fraction form
    31,053.61/42,854.16 = 16,906.42/x
  3. Step 3: Cross multiply
    31,053.61x = 42,854.16 × 16,906.42
  4. Step 4: Simplify right side
    31,053.61x = 724,510,427.71
  5. Step 5: Solve for x
    x = 724,510,427.71/31,053.61
  6. Step 6: Final answer
    x = 23,330.96

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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.