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Finding the Fourth Proportional to 51,489.90, 77,221.17 and 21,892.50

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Solution

The fourth proportional to 51,489.90, 77,221.17 and 21,892.50 is: 32,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489.90 : 77,221.17 = 21,892.50 : x
  2. Step 2: Convert to fraction form
    51,489.90/77,221.17 = 21,892.50/x
  3. Step 3: Cross multiply
    51,489.90x = 77,221.17 × 21,892.50
  4. Step 4: Simplify right side
    51,489.90x = 1,690,564,464.23
  5. Step 5: Solve for x
    x = 1,690,564,464.23/51,489.90
  6. Step 6: Final answer
    x = 32,832.93

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Why These Related Problems?

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