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Finding the Fourth Proportional to 31,046.52, 42,894.30 and 21,657

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Solution

The fourth proportional to 31,046.52, 42,894.30 and 21,657 is: 29,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.52 : 42,894.30 = 21,657 : x
  2. Step 2: Convert to fraction form
    31,046.52/42,894.30 = 21,657/x
  3. Step 3: Cross multiply
    31,046.52x = 42,894.30 × 21,657
  4. Step 4: Simplify right side
    31,046.52x = 928,961,855.10
  5. Step 5: Solve for x
    x = 928,961,855.10/31,046.52
  6. Step 6: Final answer
    x = 29,921.61

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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.