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Finding the Fourth Proportional to 82,446.88, 123,646 and 35,061.88

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Solution

The fourth proportional to 82,446.88, 123,646 and 35,061.88 is: 52,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,446.88 : 123,646 = 35,061.88 : x
  2. Step 2: Convert to fraction form
    82,446.88/123,646 = 35,061.88/x
  3. Step 3: Cross multiply
    82,446.88x = 123,646 × 35,061.88
  4. Step 4: Simplify right side
    82,446.88x = 4,335,261,214.48
  5. Step 5: Solve for x
    x = 4,335,261,214.48/82,446.88
  6. Step 6: Final answer
    x = 52,582.48

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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.