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Finding the Fourth Proportional to 70,793.60, 106,160.16 and 24,025.28

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Solution

The fourth proportional to 70,793.60, 106,160.16 and 24,025.28 is: 36,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,793.60 : 106,160.16 = 24,025.28 : x
  2. Step 2: Convert to fraction form
    70,793.60/106,160.16 = 24,025.28/x
  3. Step 3: Cross multiply
    70,793.60x = 106,160.16 × 24,025.28
  4. Step 4: Simplify right side
    70,793.60x = 2,550,527,568.84
  5. Step 5: Solve for x
    x = 2,550,527,568.84/70,793.60
  6. Step 6: Final answer
    x = 36,027.66

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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.