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Finding the Fourth Proportional to 32,614.91, 48,938.78 and 24,311.60

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Solution

The fourth proportional to 32,614.91, 48,938.78 and 24,311.60 is: 36,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614.91 : 48,938.78 = 24,311.60 : x
  2. Step 2: Convert to fraction form
    32,614.91/48,938.78 = 24,311.60/x
  3. Step 3: Cross multiply
    32,614.91x = 48,938.78 × 24,311.60
  4. Step 4: Simplify right side
    32,614.91x = 1,189,779,677.60
  5. Step 5: Solve for x
    x = 1,189,779,677.60/32,614.91
  6. Step 6: Final answer
    x = 36,479.63

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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.