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Finding the Fourth Proportional to 83,482.35, 125,223.75 and 24,319.47

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Solution

The fourth proportional to 83,482.35, 125,223.75 and 24,319.47 is: 36,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,482.35 : 125,223.75 = 24,319.47 : x
  2. Step 2: Convert to fraction form
    83,482.35/125,223.75 = 24,319.47/x
  3. Step 3: Cross multiply
    83,482.35x = 125,223.75 × 24,319.47
  4. Step 4: Simplify right side
    83,482.35x = 3,045,375,231.41
  5. Step 5: Solve for x
    x = 3,045,375,231.41/83,482.35
  6. Step 6: Final answer
    x = 36,479.27

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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.