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Finding the Fourth Proportional to 72,006.80, 107,864.40 and 49,845.20

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Solution

The fourth proportional to 72,006.80, 107,864.40 and 49,845.20 is: 74,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,006.80 : 107,864.40 = 49,845.20 : x
  2. Step 2: Convert to fraction form
    72,006.80/107,864.40 = 49,845.20/x
  3. Step 3: Cross multiply
    72,006.80x = 107,864.40 × 49,845.20
  4. Step 4: Simplify right side
    72,006.80x = 5,376,522,590.88
  5. Step 5: Solve for x
    x = 5,376,522,590.88/72,006.80
  6. Step 6: Final answer
    x = 74,666.87

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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.