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Finding the Fourth Proportional to 41,434.34, 57,201.02 and 32,340.16

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Solution

The fourth proportional to 41,434.34, 57,201.02 and 32,340.16 is: 44,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,434.34 : 57,201.02 = 32,340.16 : x
  2. Step 2: Convert to fraction form
    41,434.34/57,201.02 = 32,340.16/x
  3. Step 3: Cross multiply
    41,434.34x = 57,201.02 × 32,340.16
  4. Step 4: Simplify right side
    41,434.34x = 1,849,890,138.96
  5. Step 5: Solve for x
    x = 1,849,890,138.96/41,434.34
  6. Step 6: Final answer
    x = 44,646.30

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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.