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Finding the Fourth Proportional to 73,147.98, 109,680.93 and 23,218.77

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Solution

The fourth proportional to 73,147.98, 109,680.93 and 23,218.77 is: 34,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,147.98 : 109,680.93 = 23,218.77 : x
  2. Step 2: Convert to fraction form
    73,147.98/109,680.93 = 23,218.77/x
  3. Step 3: Cross multiply
    73,147.98x = 109,680.93 × 23,218.77
  4. Step 4: Simplify right side
    73,147.98x = 2,546,656,287.06
  5. Step 5: Solve for x
    x = 2,546,656,287.06/73,147.98
  6. Step 6: Final answer
    x = 34,815.13

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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.