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Finding the Fourth Proportional to 98,649.64, 147,959.82 and 36,305.56

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Solution

The fourth proportional to 98,649.64, 147,959.82 and 36,305.56 is: 54,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,649.64 : 147,959.82 = 36,305.56 : x
  2. Step 2: Convert to fraction form
    98,649.64/147,959.82 = 36,305.56/x
  3. Step 3: Cross multiply
    98,649.64x = 147,959.82 × 36,305.56
  4. Step 4: Simplify right side
    98,649.64x = 5,371,764,122.60
  5. Step 5: Solve for x
    x = 5,371,764,122.60/98,649.64
  6. Step 6: Final answer
    x = 54,452.95

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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.