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Finding the Fourth Proportional to 83,544, 125,303.88 and 24,363.84

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Solution

The fourth proportional to 83,544, 125,303.88 and 24,363.84 is: 36,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544 : 125,303.88 = 24,363.84 : x
  2. Step 2: Convert to fraction form
    83,544/125,303.88 = 24,363.84/x
  3. Step 3: Cross multiply
    83,544x = 125,303.88 × 24,363.84
  4. Step 4: Simplify right side
    83,544x = 3,052,883,683.70
  5. Step 5: Solve for x
    x = 3,052,883,683.70/83,544
  6. Step 6: Final answer
    x = 36,542.23

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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.