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Finding the Fourth Proportional to 44,534, 61,456.92 and 24,662

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Solution

The fourth proportional to 44,534, 61,456.92 and 24,662 is: 34,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,534 : 61,456.92 = 24,662 : x
  2. Step 2: Convert to fraction form
    44,534/61,456.92 = 24,662/x
  3. Step 3: Cross multiply
    44,534x = 61,456.92 × 24,662
  4. Step 4: Simplify right side
    44,534x = 1,515,650,561.04
  5. Step 5: Solve for x
    x = 1,515,650,561.04/44,534
  6. Step 6: Final answer
    x = 34,033.56

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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.