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Finding the Fourth Proportional to 55,581, 83,394.61 and 22,324.65

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Solution

The fourth proportional to 55,581, 83,394.61 and 22,324.65 is: 33,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,581 : 83,394.61 = 22,324.65 : x
  2. Step 2: Convert to fraction form
    55,581/83,394.61 = 22,324.65/x
  3. Step 3: Cross multiply
    55,581x = 83,394.61 × 22,324.65
  4. Step 4: Simplify right side
    55,581x = 1,861,755,424.32
  5. Step 5: Solve for x
    x = 1,861,755,424.32/55,581
  6. Step 6: Final answer
    x = 33,496.26

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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.