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Finding the Fourth Proportional to 32,950.88, 49,368 and 27,371.60

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Solution

The fourth proportional to 32,950.88, 49,368 and 27,371.60 is: 41,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.88 : 49,368 = 27,371.60 : x
  2. Step 2: Convert to fraction form
    32,950.88/49,368 = 27,371.60/x
  3. Step 3: Cross multiply
    32,950.88x = 49,368 × 27,371.60
  4. Step 4: Simplify right side
    32,950.88x = 1,351,281,148.80
  5. Step 5: Solve for x
    x = 1,351,281,148.80/32,950.88
  6. Step 6: Final answer
    x = 41,008.95

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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.