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Finding the Fourth Proportional to 70,881.76, 106,333.42 and 24,123.70

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Solution

The fourth proportional to 70,881.76, 106,333.42 and 24,123.70 is: 36,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,881.76 : 106,333.42 = 24,123.70 : x
  2. Step 2: Convert to fraction form
    70,881.76/106,333.42 = 24,123.70/x
  3. Step 3: Cross multiply
    70,881.76x = 106,333.42 × 24,123.70
  4. Step 4: Simplify right side
    70,881.76x = 2,565,155,524.05
  5. Step 5: Solve for x
    x = 2,565,155,524.05/70,881.76
  6. Step 6: Final answer
    x = 36,189.22

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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.