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Finding the Fourth Proportional to 74,805.12, 112,197.12 and 30,451.20

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Solution

The fourth proportional to 74,805.12, 112,197.12 and 30,451.20 is: 45,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,805.12 : 112,197.12 = 30,451.20 : x
  2. Step 2: Convert to fraction form
    74,805.12/112,197.12 = 30,451.20/x
  3. Step 3: Cross multiply
    74,805.12x = 112,197.12 × 30,451.20
  4. Step 4: Simplify right side
    74,805.12x = 3,416,536,940.54
  5. Step 5: Solve for x
    x = 3,416,536,940.54/74,805.12
  6. Step 6: Final answer
    x = 45,672.50

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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.