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Finding the Fourth Proportional to 39,338.24, 54,280.68 and 22,568

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Solution

The fourth proportional to 39,338.24, 54,280.68 and 22,568 is: 31,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,338.24 : 54,280.68 = 22,568 : x
  2. Step 2: Convert to fraction form
    39,338.24/54,280.68 = 22,568/x
  3. Step 3: Cross multiply
    39,338.24x = 54,280.68 × 22,568
  4. Step 4: Simplify right side
    39,338.24x = 1,225,006,386.24
  5. Step 5: Solve for x
    x = 1,225,006,386.24/39,338.24
  6. Step 6: Final answer
    x = 31,140.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.