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Finding the Fourth Proportional to 31,005.80, 42,787.48 and 16,859

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Solution

The fourth proportional to 31,005.80, 42,787.48 and 16,859 is: 23,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.80 : 42,787.48 = 16,859 : x
  2. Step 2: Convert to fraction form
    31,005.80/42,787.48 = 16,859/x
  3. Step 3: Cross multiply
    31,005.80x = 42,787.48 × 16,859
  4. Step 4: Simplify right side
    31,005.80x = 721,354,125.32
  5. Step 5: Solve for x
    x = 721,354,125.32/31,005.80
  6. Step 6: Final answer
    x = 23,265.14

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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.