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Finding the Fourth Proportional to 52,158.80, 78,205.80 and 29,961.20

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Solution

The fourth proportional to 52,158.80, 78,205.80 and 29,961.20 is: 44,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,158.80 : 78,205.80 = 29,961.20 : x
  2. Step 2: Convert to fraction form
    52,158.80/78,205.80 = 29,961.20/x
  3. Step 3: Cross multiply
    52,158.80x = 78,205.80 × 29,961.20
  4. Step 4: Simplify right side
    52,158.80x = 2,343,139,614.96
  5. Step 5: Solve for x
    x = 2,343,139,614.96/52,158.80
  6. Step 6: Final answer
    x = 44,923.19

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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.