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Finding the Fourth Proportional to 67,842, 93,624.84 and 38,034

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Solution

The fourth proportional to 67,842, 93,624.84 and 38,034 is: 52,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842 : 93,624.84 = 38,034 : x
  2. Step 2: Convert to fraction form
    67,842/93,624.84 = 38,034/x
  3. Step 3: Cross multiply
    67,842x = 93,624.84 × 38,034
  4. Step 4: Simplify right side
    67,842x = 3,560,927,164.56
  5. Step 5: Solve for x
    x = 3,560,927,164.56/67,842
  6. Step 6: Final answer
    x = 52,488.53

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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.