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Finding the Fourth Proportional to 96,803.76, 145,234.80 and 30,241.20

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Solution

The fourth proportional to 96,803.76, 145,234.80 and 30,241.20 is: 45,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,803.76 : 145,234.80 = 30,241.20 : x
  2. Step 2: Convert to fraction form
    96,803.76/145,234.80 = 30,241.20/x
  3. Step 3: Cross multiply
    96,803.76x = 145,234.80 × 30,241.20
  4. Step 4: Simplify right side
    96,803.76x = 4,392,074,633.76
  5. Step 5: Solve for x
    x = 4,392,074,633.76/96,803.76
  6. Step 6: Final answer
    x = 45,370.91

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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.