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Finding the Fourth Proportional to 32,098.61, 48,147.77 and 8,724.98

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Solution

The fourth proportional to 32,098.61, 48,147.77 and 8,724.98 is: 13,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.61 : 48,147.77 = 8,724.98 : x
  2. Step 2: Convert to fraction form
    32,098.61/48,147.77 = 8,724.98/x
  3. Step 3: Cross multiply
    32,098.61x = 48,147.77 × 8,724.98
  4. Step 4: Simplify right side
    32,098.61x = 420,088,045.93
  5. Step 5: Solve for x
    x = 420,088,045.93/32,098.61
  6. Step 6: Final answer
    x = 13,087.42

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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.