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Finding the Fourth Proportional to 73,079.80, 109,602.42 and 31,504.12

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Solution

The fourth proportional to 73,079.80, 109,602.42 and 31,504.12 is: 47,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,079.80 : 109,602.42 = 31,504.12 : x
  2. Step 2: Convert to fraction form
    73,079.80/109,602.42 = 31,504.12/x
  3. Step 3: Cross multiply
    73,079.80x = 109,602.42 × 31,504.12
  4. Step 4: Simplify right side
    73,079.80x = 3,452,927,791.97
  5. Step 5: Solve for x
    x = 3,452,927,791.97/73,079.80
  6. Step 6: Final answer
    x = 47,248.73

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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.