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Finding the Fourth Proportional to 32,381.91, 48,544.05 and 12,655.98

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Solution

The fourth proportional to 32,381.91, 48,544.05 and 12,655.98 is: 18,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.91 : 48,544.05 = 12,655.98 : x
  2. Step 2: Convert to fraction form
    32,381.91/48,544.05 = 12,655.98/x
  3. Step 3: Cross multiply
    32,381.91x = 48,544.05 × 12,655.98
  4. Step 4: Simplify right side
    32,381.91x = 614,372,525.92
  5. Step 5: Solve for x
    x = 614,372,525.92/32,381.91
  6. Step 6: Final answer
    x = 18,972.71

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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.