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Finding the Fourth Proportional to 41,562.72, 57,338.28 and 24,786

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Solution

The fourth proportional to 41,562.72, 57,338.28 and 24,786 is: 34,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,562.72 : 57,338.28 = 24,786 : x
  2. Step 2: Convert to fraction form
    41,562.72/57,338.28 = 24,786/x
  3. Step 3: Cross multiply
    41,562.72x = 57,338.28 × 24,786
  4. Step 4: Simplify right side
    41,562.72x = 1,421,186,608.08
  5. Step 5: Solve for x
    x = 1,421,186,608.08/41,562.72
  6. Step 6: Final answer
    x = 34,193.78

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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.