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Finding the Fourth Proportional to 82,197.75, 113,432.91 and 44,472

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Solution

The fourth proportional to 82,197.75, 113,432.91 and 44,472 is: 61,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,197.75 : 113,432.91 = 44,472 : x
  2. Step 2: Convert to fraction form
    82,197.75/113,432.91 = 44,472/x
  3. Step 3: Cross multiply
    82,197.75x = 113,432.91 × 44,472
  4. Step 4: Simplify right side
    82,197.75x = 5,044,588,373.52
  5. Step 5: Solve for x
    x = 5,044,588,373.52/82,197.75
  6. Step 6: Final answer
    x = 61,371.37

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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.