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Finding the Fourth Proportional to 77,508.90, 116,321.67 and 52,489.62

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Solution

The fourth proportional to 77,508.90, 116,321.67 and 52,489.62 is: 78,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,508.90 : 116,321.67 = 52,489.62 : x
  2. Step 2: Convert to fraction form
    77,508.90/116,321.67 = 52,489.62/x
  3. Step 3: Cross multiply
    77,508.90x = 116,321.67 × 52,489.62
  4. Step 4: Simplify right side
    77,508.90x = 6,105,680,256.07
  5. Step 5: Solve for x
    x = 6,105,680,256.07/77,508.90
  6. Step 6: Final answer
    x = 78,773.92

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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.