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Finding the Fourth Proportional to 73,912.98, 101,998.35 and 42,081.42

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Solution

The fourth proportional to 73,912.98, 101,998.35 and 42,081.42 is: 58,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,912.98 : 101,998.35 = 42,081.42 : x
  2. Step 2: Convert to fraction form
    73,912.98/101,998.35 = 42,081.42/x
  3. Step 3: Cross multiply
    73,912.98x = 101,998.35 × 42,081.42
  4. Step 4: Simplify right side
    73,912.98x = 4,292,235,405.66
  5. Step 5: Solve for x
    x = 4,292,235,405.66/73,912.98
  6. Step 6: Final answer
    x = 58,071.47

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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.