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Finding the Fourth Proportional to 77,446.14, 116,170.49 and 21,285.90

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Solution

The fourth proportional to 77,446.14, 116,170.49 and 21,285.90 is: 31,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,446.14 : 116,170.49 = 21,285.90 : x
  2. Step 2: Convert to fraction form
    77,446.14/116,170.49 = 21,285.90/x
  3. Step 3: Cross multiply
    77,446.14x = 116,170.49 × 21,285.90
  4. Step 4: Simplify right side
    77,446.14x = 2,472,793,486.31
  5. Step 5: Solve for x
    x = 2,472,793,486.31/77,446.14
  6. Step 6: Final answer
    x = 31,929.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.