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Finding the Fourth Proportional to 74,462.97, 102,759.69 and 40,471.46

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Solution

The fourth proportional to 74,462.97, 102,759.69 and 40,471.46 is: 55,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,462.97 : 102,759.69 = 40,471.46 : x
  2. Step 2: Convert to fraction form
    74,462.97/102,759.69 = 40,471.46/x
  3. Step 3: Cross multiply
    74,462.97x = 102,759.69 × 40,471.46
  4. Step 4: Simplify right side
    74,462.97x = 4,158,834,683.45
  5. Step 5: Solve for x
    x = 4,158,834,683.45/74,462.97
  6. Step 6: Final answer
    x = 55,851.04

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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.