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Finding the Fourth Proportional to 71,091.72, 106,643.25 and 24,345

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Solution

The fourth proportional to 71,091.72, 106,643.25 and 24,345 is: 36,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,091.72 : 106,643.25 = 24,345 : x
  2. Step 2: Convert to fraction form
    71,091.72/106,643.25 = 24,345/x
  3. Step 3: Cross multiply
    71,091.72x = 106,643.25 × 24,345
  4. Step 4: Simplify right side
    71,091.72x = 2,596,229,921.25
  5. Step 5: Solve for x
    x = 2,596,229,921.25/71,091.72
  6. Step 6: Final answer
    x = 36,519.44

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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.