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Finding the Fourth Proportional to 61,961.32, 92,876.98 and 30,327.76

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Solution

The fourth proportional to 61,961.32, 92,876.98 and 30,327.76 is: 45,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,961.32 : 92,876.98 = 30,327.76 : x
  2. Step 2: Convert to fraction form
    61,961.32/92,876.98 = 30,327.76/x
  3. Step 3: Cross multiply
    61,961.32x = 92,876.98 × 30,327.76
  4. Step 4: Simplify right side
    61,961.32x = 2,816,750,758.96
  5. Step 5: Solve for x
    x = 2,816,750,758.96/61,961.32
  6. Step 6: Final answer
    x = 45,459.82

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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.