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Finding the Fourth Proportional to 74,461.96, 102,758.31 and 40,470.43

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Solution

The fourth proportional to 74,461.96, 102,758.31 and 40,470.43 is: 55,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,461.96 : 102,758.31 = 40,470.43 : x
  2. Step 2: Convert to fraction form
    74,461.96/102,758.31 = 40,470.43/x
  3. Step 3: Cross multiply
    74,461.96x = 102,758.31 × 40,470.43
  4. Step 4: Simplify right side
    74,461.96x = 4,158,672,991.77
  5. Step 5: Solve for x
    x = 4,158,672,991.77/74,461.96
  6. Step 6: Final answer
    x = 55,849.63

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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.