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Finding the Fourth Proportional to 73,070.80, 109,721.40 and 41,966.80

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Solution

The fourth proportional to 73,070.80, 109,721.40 and 41,966.80 is: 63,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,070.80 : 109,721.40 = 41,966.80 : x
  2. Step 2: Convert to fraction form
    73,070.80/109,721.40 = 41,966.80/x
  3. Step 3: Cross multiply
    73,070.80x = 109,721.40 × 41,966.80
  4. Step 4: Simplify right side
    73,070.80x = 4,604,656,049.52
  5. Step 5: Solve for x
    x = 4,604,656,049.52/73,070.80
  6. Step 6: Final answer
    x = 63,016.36

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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.