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Finding the Fourth Proportional to 32,098.72, 48,150.24 and 8,724.64

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Solution

The fourth proportional to 32,098.72, 48,150.24 and 8,724.64 is: 13,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.72 : 48,150.24 = 8,724.64 : x
  2. Step 2: Convert to fraction form
    32,098.72/48,150.24 = 8,724.64/x
  3. Step 3: Cross multiply
    32,098.72x = 48,150.24 × 8,724.64
  4. Step 4: Simplify right side
    32,098.72x = 420,093,509.91
  5. Step 5: Solve for x
    x = 420,093,509.91/32,098.72
  6. Step 6: Final answer
    x = 13,087.55

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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.