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Finding the Fourth Proportional to 77,297.60, 115,773.60 and 59,710.40

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Solution

The fourth proportional to 77,297.60, 115,773.60 and 59,710.40 is: 89,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,297.60 : 115,773.60 = 59,710.40 : x
  2. Step 2: Convert to fraction form
    77,297.60/115,773.60 = 59,710.40/x
  3. Step 3: Cross multiply
    77,297.60x = 115,773.60 × 59,710.40
  4. Step 4: Simplify right side
    77,297.60x = 6,912,887,965.44
  5. Step 5: Solve for x
    x = 6,912,887,965.44/77,297.60
  6. Step 6: Final answer
    x = 89,432.12

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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.