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Finding the Fourth Proportional to 162,781.44, 244,144.16 and 48,927.52

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Solution

The fourth proportional to 162,781.44, 244,144.16 and 48,927.52 is: 73,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,781.44 : 244,144.16 = 48,927.52 : x
  2. Step 2: Convert to fraction form
    162,781.44/244,144.16 = 48,927.52/x
  3. Step 3: Cross multiply
    162,781.44x = 244,144.16 × 48,927.52
  4. Step 4: Simplify right side
    162,781.44x = 11,945,368,271.28
  5. Step 5: Solve for x
    x = 11,945,368,271.28/162,781.44
  6. Step 6: Final answer
    x = 73,382.86

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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.