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Finding the Fourth Proportional to 32,481.98, 48,723.08 and 9,992.50

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Solution

The fourth proportional to 32,481.98, 48,723.08 and 9,992.50 is: 14,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481.98 : 48,723.08 = 9,992.50 : x
  2. Step 2: Convert to fraction form
    32,481.98/48,723.08 = 9,992.50/x
  3. Step 3: Cross multiply
    32,481.98x = 48,723.08 × 9,992.50
  4. Step 4: Simplify right side
    32,481.98x = 486,865,280.07
  5. Step 5: Solve for x
    x = 486,865,280.07/32,481.98
  6. Step 6: Final answer
    x = 14,988.78

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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.