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Finding the Fourth Proportional to 54,708.68, 82,062.64 and 15,266

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Solution

The fourth proportional to 54,708.68, 82,062.64 and 15,266 is: 22,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,708.68 : 82,062.64 = 15,266 : x
  2. Step 2: Convert to fraction form
    54,708.68/82,062.64 = 15,266/x
  3. Step 3: Cross multiply
    54,708.68x = 82,062.64 × 15,266
  4. Step 4: Simplify right side
    54,708.68x = 1,252,768,262.24
  5. Step 5: Solve for x
    x = 1,252,768,262.24/54,708.68
  6. Step 6: Final answer
    x = 22,898.89

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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.