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Finding the Fourth Proportional to 49,659, 74,488.68 and 47,167.44

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Solution

The fourth proportional to 49,659, 74,488.68 and 47,167.44 is: 70,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,659 : 74,488.68 = 47,167.44 : x
  2. Step 2: Convert to fraction form
    49,659/74,488.68 = 47,167.44/x
  3. Step 3: Cross multiply
    49,659x = 74,488.68 × 47,167.44
  4. Step 4: Simplify right side
    49,659x = 3,513,440,344.58
  5. Step 5: Solve for x
    x = 3,513,440,344.58/49,659
  6. Step 6: Final answer
    x = 70,751.33

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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.