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Finding the Fourth Proportional to 32,409.80, 48,614.70 and 10,229.98

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Solution

The fourth proportional to 32,409.80, 48,614.70 and 10,229.98 is: 15,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.80 : 48,614.70 = 10,229.98 : x
  2. Step 2: Convert to fraction form
    32,409.80/48,614.70 = 10,229.98/x
  3. Step 3: Cross multiply
    32,409.80x = 48,614.70 × 10,229.98
  4. Step 4: Simplify right side
    32,409.80x = 497,327,408.71
  5. Step 5: Solve for x
    x = 497,327,408.71/32,409.80
  6. Step 6: Final answer
    x = 15,344.97

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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.