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Finding the Fourth Proportional to 111,691.32, 167,549.22 and 48,467.98

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Solution

The fourth proportional to 111,691.32, 167,549.22 and 48,467.98 is: 72,707.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,691.32 : 167,549.22 = 48,467.98 : x
  2. Step 2: Convert to fraction form
    111,691.32/167,549.22 = 48,467.98/x
  3. Step 3: Cross multiply
    111,691.32x = 167,549.22 × 48,467.98
  4. Step 4: Simplify right side
    111,691.32x = 8,120,772,243.98
  5. Step 5: Solve for x
    x = 8,120,772,243.98/111,691.32
  6. Step 6: Final answer
    x = 72,707.28

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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.