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Finding the Fourth Proportional to 74,152.40, 111,244.80 and 24,234.80

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Solution

The fourth proportional to 74,152.40, 111,244.80 and 24,234.80 is: 36,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,152.40 : 111,244.80 = 24,234.80 : x
  2. Step 2: Convert to fraction form
    74,152.40/111,244.80 = 24,234.80/x
  3. Step 3: Cross multiply
    74,152.40x = 111,244.80 × 24,234.80
  4. Step 4: Simplify right side
    74,152.40x = 2,695,995,479.04
  5. Step 5: Solve for x
    x = 2,695,995,479.04/74,152.40
  6. Step 6: Final answer
    x = 36,357.49

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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.