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Finding the Fourth Proportional to 74,461.97, 102,758.31 and 40,470.46

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Solution

The fourth proportional to 74,461.97, 102,758.31 and 40,470.46 is: 55,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,461.97 : 102,758.31 = 40,470.46 : x
  2. Step 2: Convert to fraction form
    74,461.97/102,758.31 = 40,470.46/x
  3. Step 3: Cross multiply
    74,461.97x = 102,758.31 × 40,470.46
  4. Step 4: Simplify right side
    74,461.97x = 4,158,676,049.72
  5. Step 5: Solve for x
    x = 4,158,676,049.72/74,461.97
  6. Step 6: Final answer
    x = 55,849.66

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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.