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Finding the Fourth Proportional to 34,438.60, 51,658.46 and 9,478.49

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Solution

The fourth proportional to 34,438.60, 51,658.46 and 9,478.49 is: 14,217.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438.60 : 51,658.46 = 9,478.49 : x
  2. Step 2: Convert to fraction form
    34,438.60/51,658.46 = 9,478.49/x
  3. Step 3: Cross multiply
    34,438.60x = 51,658.46 × 9,478.49
  4. Step 4: Simplify right side
    34,438.60x = 489,643,926.38
  5. Step 5: Solve for x
    x = 489,643,926.38/34,438.60
  6. Step 6: Final answer
    x = 14,217.88

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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.