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Finding the Fourth Proportional to 52,034.70, 71,806.35 and 29,374.50

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Solution

The fourth proportional to 52,034.70, 71,806.35 and 29,374.50 is: 40,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034.70 : 71,806.35 = 29,374.50 : x
  2. Step 2: Convert to fraction form
    52,034.70/71,806.35 = 29,374.50/x
  3. Step 3: Cross multiply
    52,034.70x = 71,806.35 × 29,374.50
  4. Step 4: Simplify right side
    52,034.70x = 2,109,275,628.08
  5. Step 5: Solve for x
    x = 2,109,275,628.08/52,034.70
  6. Step 6: Final answer
    x = 40,535.94

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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.