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Finding the Fourth Proportional to 32,098.48, 48,147.48 and 8,724.88

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Solution

The fourth proportional to 32,098.48, 48,147.48 and 8,724.88 is: 13,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.48 : 48,147.48 = 8,724.88 : x
  2. Step 2: Convert to fraction form
    32,098.48/48,147.48 = 8,724.88/x
  3. Step 3: Cross multiply
    32,098.48x = 48,147.48 × 8,724.88
  4. Step 4: Simplify right side
    32,098.48x = 420,080,985.30
  5. Step 5: Solve for x
    x = 420,080,985.30/32,098.48
  6. Step 6: Final answer
    x = 13,087.25

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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.