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Finding the Fourth Proportional to 61,872.80, 92,809.20 and 22,431.20

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Solution

The fourth proportional to 61,872.80, 92,809.20 and 22,431.20 is: 33,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,872.80 : 92,809.20 = 22,431.20 : x
  2. Step 2: Convert to fraction form
    61,872.80/92,809.20 = 22,431.20/x
  3. Step 3: Cross multiply
    61,872.80x = 92,809.20 × 22,431.20
  4. Step 4: Simplify right side
    61,872.80x = 2,081,821,727.04
  5. Step 5: Solve for x
    x = 2,081,821,727.04/61,872.80
  6. Step 6: Final answer
    x = 33,646.80

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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.