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Finding the Fourth Proportional to 80,407.16, 110,945.88 and 48,577.82

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Solution

The fourth proportional to 80,407.16, 110,945.88 and 48,577.82 is: 67,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,407.16 : 110,945.88 = 48,577.82 : x
  2. Step 2: Convert to fraction form
    80,407.16/110,945.88 = 48,577.82/x
  3. Step 3: Cross multiply
    80,407.16x = 110,945.88 × 48,577.82
  4. Step 4: Simplify right side
    80,407.16x = 5,389,508,988.38
  5. Step 5: Solve for x
    x = 5,389,508,988.38/80,407.16
  6. Step 6: Final answer
    x = 67,027.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.