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Finding the Fourth Proportional to 52,181.80, 78,272.70 and 15,245.80

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Solution

The fourth proportional to 52,181.80, 78,272.70 and 15,245.80 is: 22,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,181.80 : 78,272.70 = 15,245.80 : x
  2. Step 2: Convert to fraction form
    52,181.80/78,272.70 = 15,245.80/x
  3. Step 3: Cross multiply
    52,181.80x = 78,272.70 × 15,245.80
  4. Step 4: Simplify right side
    52,181.80x = 1,193,329,929.66
  5. Step 5: Solve for x
    x = 1,193,329,929.66/52,181.80
  6. Step 6: Final answer
    x = 22,868.70

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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.