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Finding the Fourth Proportional to 70,822.32, 106,008.84 and 39,562.80

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Solution

The fourth proportional to 70,822.32, 106,008.84 and 39,562.80 is: 59,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822.32 : 106,008.84 = 39,562.80 : x
  2. Step 2: Convert to fraction form
    70,822.32/106,008.84 = 39,562.80/x
  3. Step 3: Cross multiply
    70,822.32x = 106,008.84 × 39,562.80
  4. Step 4: Simplify right side
    70,822.32x = 4,194,006,535.15
  5. Step 5: Solve for x
    x = 4,194,006,535.15/70,822.32
  6. Step 6: Final answer
    x = 59,218.71

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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.