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Finding the Fourth Proportional to 49,649.11, 74,479.14 and 14,591.50

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Solution

The fourth proportional to 49,649.11, 74,479.14 and 14,591.50 is: 21,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,649.11 : 74,479.14 = 14,591.50 : x
  2. Step 2: Convert to fraction form
    49,649.11/74,479.14 = 14,591.50/x
  3. Step 3: Cross multiply
    49,649.11x = 74,479.14 × 14,591.50
  4. Step 4: Simplify right side
    49,649.11x = 1,086,762,371.31
  5. Step 5: Solve for x
    x = 1,086,762,371.31/49,649.11
  6. Step 6: Final answer
    x = 21,888.86

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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.