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Finding the Fourth Proportional to 121,764.68, 182,647.50 and 37,524.20

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Solution

The fourth proportional to 121,764.68, 182,647.50 and 37,524.20 is: 56,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,764.68 : 182,647.50 = 37,524.20 : x
  2. Step 2: Convert to fraction form
    121,764.68/182,647.50 = 37,524.20/x
  3. Step 3: Cross multiply
    121,764.68x = 182,647.50 × 37,524.20
  4. Step 4: Simplify right side
    121,764.68x = 6,853,701,319.50
  5. Step 5: Solve for x
    x = 6,853,701,319.50/121,764.68
  6. Step 6: Final answer
    x = 56,286.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.