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Finding the Fourth Proportional to 44,561.13, 61,491.69 and 24,414

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Solution

The fourth proportional to 44,561.13, 61,491.69 and 24,414 is: 33,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,561.13 : 61,491.69 = 24,414 : x
  2. Step 2: Convert to fraction form
    44,561.13/61,491.69 = 24,414/x
  3. Step 3: Cross multiply
    44,561.13x = 61,491.69 × 24,414
  4. Step 4: Simplify right side
    44,561.13x = 1,501,258,119.66
  5. Step 5: Solve for x
    x = 1,501,258,119.66/44,561.13
  6. Step 6: Final answer
    x = 33,689.86

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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.