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Finding the Fourth Proportional to 41,725, 57,585.32 and 23,822.56

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Solution

The fourth proportional to 41,725, 57,585.32 and 23,822.56 is: 32,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,725 : 57,585.32 = 23,822.56 : x
  2. Step 2: Convert to fraction form
    41,725/57,585.32 = 23,822.56/x
  3. Step 3: Cross multiply
    41,725x = 57,585.32 × 23,822.56
  4. Step 4: Simplify right side
    41,725x = 1,371,829,740.82
  5. Step 5: Solve for x
    x = 1,371,829,740.82/41,725
  6. Step 6: Final answer
    x = 32,877.88

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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.