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Finding the Fourth Proportional to 77,566.20, 116,003.70 and 65,124.60

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Solution

The fourth proportional to 77,566.20, 116,003.70 and 65,124.60 is: 97,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,566.20 : 116,003.70 = 65,124.60 : x
  2. Step 2: Convert to fraction form
    77,566.20/116,003.70 = 65,124.60/x
  3. Step 3: Cross multiply
    77,566.20x = 116,003.70 × 65,124.60
  4. Step 4: Simplify right side
    77,566.20x = 7,554,694,561.02
  5. Step 5: Solve for x
    x = 7,554,694,561.02/77,566.20
  6. Step 6: Final answer
    x = 97,396.73

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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.