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Finding the Fourth Proportional to 74,674, 103,049.69 and 40,682.42

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Solution

The fourth proportional to 74,674, 103,049.69 and 40,682.42 is: 56,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,674 : 103,049.69 = 40,682.42 : x
  2. Step 2: Convert to fraction form
    74,674/103,049.69 = 40,682.42/x
  3. Step 3: Cross multiply
    74,674x = 103,049.69 × 40,682.42
  4. Step 4: Simplify right side
    74,674x = 4,192,310,254.20
  5. Step 5: Solve for x
    x = 4,192,310,254.20/74,674
  6. Step 6: Final answer
    x = 56,141.50

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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.