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Finding the Fourth Proportional to 32,438.75, 48,658.17 and 7,814.75

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Solution

The fourth proportional to 32,438.75, 48,658.17 and 7,814.75 is: 11,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.75 : 48,658.17 = 7,814.75 : x
  2. Step 2: Convert to fraction form
    32,438.75/48,658.17 = 7,814.75/x
  3. Step 3: Cross multiply
    32,438.75x = 48,658.17 × 7,814.75
  4. Step 4: Simplify right side
    32,438.75x = 380,251,434.01
  5. Step 5: Solve for x
    x = 380,251,434.01/32,438.75
  6. Step 6: Final answer
    x = 11,722.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.