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Finding the Fourth Proportional to 55,609, 83,417.14 and 22,324.68

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Solution

The fourth proportional to 55,609, 83,417.14 and 22,324.68 is: 33,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,609 : 83,417.14 = 22,324.68 : x
  2. Step 2: Convert to fraction form
    55,609/83,417.14 = 22,324.68/x
  3. Step 3: Cross multiply
    55,609x = 83,417.14 × 22,324.68
  4. Step 4: Simplify right side
    55,609x = 1,862,260,957.02
  5. Step 5: Solve for x
    x = 1,862,260,957.02/55,609
  6. Step 6: Final answer
    x = 33,488.48

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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.