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Finding the Fourth Proportional to 41,491.77, 57,258.38 and 23,586.78

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Solution

The fourth proportional to 41,491.77, 57,258.38 and 23,586.78 is: 32,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,491.77 : 57,258.38 = 23,586.78 : x
  2. Step 2: Convert to fraction form
    41,491.77/57,258.38 = 23,586.78/x
  3. Step 3: Cross multiply
    41,491.77x = 57,258.38 × 23,586.78
  4. Step 4: Simplify right side
    41,491.77x = 1,350,540,656.46
  5. Step 5: Solve for x
    x = 1,350,540,656.46/41,491.77
  6. Step 6: Final answer
    x = 32,549.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.