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Finding the Fourth Proportional to 98,469.12, 147,719.30 and 35,287.88

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Solution

The fourth proportional to 98,469.12, 147,719.30 and 35,287.88 is: 52,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,469.12 : 147,719.30 = 35,287.88 : x
  2. Step 2: Convert to fraction form
    98,469.12/147,719.30 = 35,287.88/x
  3. Step 3: Cross multiply
    98,469.12x = 147,719.30 × 35,287.88
  4. Step 4: Simplify right side
    98,469.12x = 5,212,701,732.74
  5. Step 5: Solve for x
    x = 5,212,701,732.74/98,469.12
  6. Step 6: Final answer
    x = 52,937.42

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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.