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Finding the Fourth Proportional to 98,661.78, 148,008.12 and 32,086.31

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Solution

The fourth proportional to 98,661.78, 148,008.12 and 32,086.31 is: 48,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,661.78 : 148,008.12 = 32,086.31 : x
  2. Step 2: Convert to fraction form
    98,661.78/148,008.12 = 32,086.31/x
  3. Step 3: Cross multiply
    98,661.78x = 148,008.12 × 32,086.31
  4. Step 4: Simplify right side
    98,661.78x = 4,749,033,680.80
  5. Step 5: Solve for x
    x = 4,749,033,680.80/98,661.78
  6. Step 6: Final answer
    x = 48,134.48

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1.5x scale

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.