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Finding the Fourth Proportional to 55,952.73, 83,854.23 and 27,446.10

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Solution

The fourth proportional to 55,952.73, 83,854.23 and 27,446.10 is: 41,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952.73 : 83,854.23 = 27,446.10 : x
  2. Step 2: Convert to fraction form
    55,952.73/83,854.23 = 27,446.10/x
  3. Step 3: Cross multiply
    55,952.73x = 83,854.23 × 27,446.10
  4. Step 4: Simplify right side
    55,952.73x = 2,301,471,582.00
  5. Step 5: Solve for x
    x = 2,301,471,582.00/55,952.73
  6. Step 6: Final answer
    x = 41,132.42

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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.