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Finding the Fourth Proportional to 161,995.85, 243,029.30 and 49,684.49

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Solution

The fourth proportional to 161,995.85, 243,029.30 and 49,684.49 is: 74,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,995.85 : 243,029.30 = 49,684.49 : x
  2. Step 2: Convert to fraction form
    161,995.85/243,029.30 = 49,684.49/x
  3. Step 3: Cross multiply
    161,995.85x = 243,029.30 × 49,684.49
  4. Step 4: Simplify right side
    161,995.85x = 12,074,786,273.35
  5. Step 5: Solve for x
    x = 12,074,786,273.35/161,995.85
  6. Step 6: Final answer
    x = 74,537.63

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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.