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Finding the Fourth Proportional to 41,872.50, 57,784.08 and 23,009.76

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Solution

The fourth proportional to 41,872.50, 57,784.08 and 23,009.76 is: 31,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,872.50 : 57,784.08 = 23,009.76 : x
  2. Step 2: Convert to fraction form
    41,872.50/57,784.08 = 23,009.76/x
  3. Step 3: Cross multiply
    41,872.50x = 57,784.08 × 23,009.76
  4. Step 4: Simplify right side
    41,872.50x = 1,329,597,812.62
  5. Step 5: Solve for x
    x = 1,329,597,812.62/41,872.50
  6. Step 6: Final answer
    x = 31,753.49

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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.