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Finding the Fourth Proportional to 77,027.20, 115,411.20 and 65,881.60

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Solution

The fourth proportional to 77,027.20, 115,411.20 and 65,881.60 is: 98,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,027.20 : 115,411.20 = 65,881.60 : x
  2. Step 2: Convert to fraction form
    77,027.20/115,411.20 = 65,881.60/x
  3. Step 3: Cross multiply
    77,027.20x = 115,411.20 × 65,881.60
  4. Step 4: Simplify right side
    77,027.20x = 7,603,474,513.92
  5. Step 5: Solve for x
    x = 7,603,474,513.92/77,027.20
  6. Step 6: Final answer
    x = 98,711.55

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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.