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Finding the Fourth Proportional to 61,524.83, 92,287.70 and 22,082.28

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Solution

The fourth proportional to 61,524.83, 92,287.70 and 22,082.28 is: 33,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,524.83 : 92,287.70 = 22,082.28 : x
  2. Step 2: Convert to fraction form
    61,524.83/92,287.70 = 22,082.28/x
  3. Step 3: Cross multiply
    61,524.83x = 92,287.70 × 22,082.28
  4. Step 4: Simplify right side
    61,524.83x = 2,037,922,977.39
  5. Step 5: Solve for x
    x = 2,037,922,977.39/61,524.83
  6. Step 6: Final answer
    x = 33,123.59

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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.