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Finding the Fourth Proportional to 54,804.29, 82,209.47 and 26,748.27

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Solution

The fourth proportional to 54,804.29, 82,209.47 and 26,748.27 is: 40,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804.29 : 82,209.47 = 26,748.27 : x
  2. Step 2: Convert to fraction form
    54,804.29/82,209.47 = 26,748.27/x
  3. Step 3: Cross multiply
    54,804.29x = 82,209.47 × 26,748.27
  4. Step 4: Simplify right side
    54,804.29x = 2,198,960,966.38
  5. Step 5: Solve for x
    x = 2,198,960,966.38/54,804.29
  6. Step 6: Final answer
    x = 40,123.89

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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.