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Finding the Fourth Proportional to 77,404.60, 115,934.10 and 59,817.40

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Solution

The fourth proportional to 77,404.60, 115,934.10 and 59,817.40 is: 89,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,404.60 : 115,934.10 = 59,817.40 : x
  2. Step 2: Convert to fraction form
    77,404.60/115,934.10 = 59,817.40/x
  3. Step 3: Cross multiply
    77,404.60x = 115,934.10 × 59,817.40
  4. Step 4: Simplify right side
    77,404.60x = 6,934,876,433.34
  5. Step 5: Solve for x
    x = 6,934,876,433.34/77,404.60
  6. Step 6: Final answer
    x = 89,592.56

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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.