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Finding the Fourth Proportional to 80,165.09, 110,627.12 and 47,897.96

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Solution

The fourth proportional to 80,165.09, 110,627.12 and 47,897.96 is: 66,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,165.09 : 110,627.12 = 47,897.96 : x
  2. Step 2: Convert to fraction form
    80,165.09/110,627.12 = 47,897.96/x
  3. Step 3: Cross multiply
    80,165.09x = 110,627.12 × 47,897.96
  4. Step 4: Simplify right side
    80,165.09x = 5,298,812,977.00
  5. Step 5: Solve for x
    x = 5,298,812,977.00/80,165.09
  6. Step 6: Final answer
    x = 66,098.76

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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.