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Finding the Fourth Proportional to 99,461.53, 149,252.19 and 36,287.20

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Solution

The fourth proportional to 99,461.53, 149,252.19 and 36,287.20 is: 54,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,461.53 : 149,252.19 = 36,287.20 : x
  2. Step 2: Convert to fraction form
    99,461.53/149,252.19 = 36,287.20/x
  3. Step 3: Cross multiply
    99,461.53x = 149,252.19 × 36,287.20
  4. Step 4: Simplify right side
    99,461.53x = 5,415,944,119.46
  5. Step 5: Solve for x
    x = 5,415,944,119.46/99,461.53
  6. Step 6: Final answer
    x = 54,452.65

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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.