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Finding the Fourth Proportional to 74,238.80, 102,449.64 and 40,247.48

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Solution

The fourth proportional to 74,238.80, 102,449.64 and 40,247.48 is: 55,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,238.80 : 102,449.64 = 40,247.48 : x
  2. Step 2: Convert to fraction form
    74,238.80/102,449.64 = 40,247.48/x
  3. Step 3: Cross multiply
    74,238.80x = 102,449.64 × 40,247.48
  4. Step 4: Simplify right side
    74,238.80x = 4,123,339,836.91
  5. Step 5: Solve for x
    x = 4,123,339,836.91/74,238.80
  6. Step 6: Final answer
    x = 55,541.57

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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.