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Finding the Fourth Proportional to 49,022.19, 67,664.90 and 32,029.02

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Solution

The fourth proportional to 49,022.19, 67,664.90 and 32,029.02 is: 44,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,022.19 : 67,664.90 = 32,029.02 : x
  2. Step 2: Convert to fraction form
    49,022.19/67,664.90 = 32,029.02/x
  3. Step 3: Cross multiply
    49,022.19x = 67,664.90 × 32,029.02
  4. Step 4: Simplify right side
    49,022.19x = 2,167,240,515.47
  5. Step 5: Solve for x
    x = 2,167,240,515.47/49,022.19
  6. Step 6: Final answer
    x = 44,209.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.