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Finding the Fourth Proportional to 61,658.88, 92,496 and 22,205.76

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Solution

The fourth proportional to 61,658.88, 92,496 and 22,205.76 is: 33,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,658.88 : 92,496 = 22,205.76 : x
  2. Step 2: Convert to fraction form
    61,658.88/92,496 = 22,205.76/x
  3. Step 3: Cross multiply
    61,658.88x = 92,496 × 22,205.76
  4. Step 4: Simplify right side
    61,658.88x = 2,053,943,976.96
  5. Step 5: Solve for x
    x = 2,053,943,976.96/61,658.88
  6. Step 6: Final answer
    x = 33,311.41

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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.