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Finding the Fourth Proportional to 41,407.20, 57,108.24 and 24,624

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Solution

The fourth proportional to 41,407.20, 57,108.24 and 24,624 is: 33,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407.20 : 57,108.24 = 24,624 : x
  2. Step 2: Convert to fraction form
    41,407.20/57,108.24 = 24,624/x
  3. Step 3: Cross multiply
    41,407.20x = 57,108.24 × 24,624
  4. Step 4: Simplify right side
    41,407.20x = 1,406,233,301.76
  5. Step 5: Solve for x
    x = 1,406,233,301.76/41,407.20
  6. Step 6: Final answer
    x = 33,961.08

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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.