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Finding the Fourth Proportional to 81,198.54, 112,049.42 and 44,897.87

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Solution

The fourth proportional to 81,198.54, 112,049.42 and 44,897.87 is: 61,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,198.54 : 112,049.42 = 44,897.87 : x
  2. Step 2: Convert to fraction form
    81,198.54/112,049.42 = 44,897.87/x
  3. Step 3: Cross multiply
    81,198.54x = 112,049.42 × 44,897.87
  4. Step 4: Simplify right side
    81,198.54x = 5,030,779,508.00
  5. Step 5: Solve for x
    x = 5,030,779,508.00/81,198.54
  6. Step 6: Final answer
    x = 61,956.53

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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.