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Finding the Fourth Proportional to 29,034.42, 40,057.66 and 22,305.30

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Solution

The fourth proportional to 29,034.42, 40,057.66 and 22,305.30 is: 30,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,034.42 : 40,057.66 = 22,305.30 : x
  2. Step 2: Convert to fraction form
    29,034.42/40,057.66 = 22,305.30/x
  3. Step 3: Cross multiply
    29,034.42x = 40,057.66 × 22,305.30
  4. Step 4: Simplify right side
    29,034.42x = 893,498,123.60
  5. Step 5: Solve for x
    x = 893,498,123.60/29,034.42
  6. Step 6: Final answer
    x = 30,773.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.