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Finding the Fourth Proportional to 71,115.80, 106,675.32 and 24,368

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Solution

The fourth proportional to 71,115.80, 106,675.32 and 24,368 is: 36,552.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,115.80 : 106,675.32 = 24,368 : x
  2. Step 2: Convert to fraction form
    71,115.80/106,675.32 = 24,368/x
  3. Step 3: Cross multiply
    71,115.80x = 106,675.32 × 24,368
  4. Step 4: Simplify right side
    71,115.80x = 2,599,464,197.76
  5. Step 5: Solve for x
    x = 2,599,464,197.76/71,115.80
  6. Step 6: Final answer
    x = 36,552.56

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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.