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Finding the Fourth Proportional to 70,852.77, 106,279.16 and 24,105.69

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Solution

The fourth proportional to 70,852.77, 106,279.16 and 24,105.69 is: 36,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,852.77 : 106,279.16 = 24,105.69 : x
  2. Step 2: Convert to fraction form
    70,852.77/106,279.16 = 24,105.69/x
  3. Step 3: Cross multiply
    70,852.77x = 106,279.16 × 24,105.69
  4. Step 4: Simplify right side
    70,852.77x = 2,561,932,363.89
  5. Step 5: Solve for x
    x = 2,561,932,363.89/70,852.77
  6. Step 6: Final answer
    x = 36,158.54

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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.