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Finding the Fourth Proportional to 49,159.90, 73,740.10 and 12,223.90

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Solution

The fourth proportional to 49,159.90, 73,740.10 and 12,223.90 is: 18,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,159.90 : 73,740.10 = 12,223.90 : x
  2. Step 2: Convert to fraction form
    49,159.90/73,740.10 = 12,223.90/x
  3. Step 3: Cross multiply
    49,159.90x = 73,740.10 × 12,223.90
  4. Step 4: Simplify right side
    49,159.90x = 901,391,608.39
  5. Step 5: Solve for x
    x = 901,391,608.39/49,159.90
  6. Step 6: Final answer
    x = 18,335.91

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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.