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Finding the Fourth Proportional to 92,658.62, 127,876.76 and 77,524.58

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Solution

The fourth proportional to 92,658.62, 127,876.76 and 77,524.58 is: 106,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,658.62 : 127,876.76 = 77,524.58 : x
  2. Step 2: Convert to fraction form
    92,658.62/127,876.76 = 77,524.58/x
  3. Step 3: Cross multiply
    92,658.62x = 127,876.76 × 77,524.58
  4. Step 4: Simplify right side
    92,658.62x = 9,913,592,110.76
  5. Step 5: Solve for x
    x = 9,913,592,110.76/92,658.62
  6. Step 6: Final answer
    x = 106,990.50

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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.