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Finding the Fourth Proportional to 71,230.56, 106,751.48 and 37,878.82

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Solution

The fourth proportional to 71,230.56, 106,751.48 and 37,878.82 is: 56,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,230.56 : 106,751.48 = 37,878.82 : x
  2. Step 2: Convert to fraction form
    71,230.56/106,751.48 = 37,878.82/x
  3. Step 3: Cross multiply
    71,230.56x = 106,751.48 × 37,878.82
  4. Step 4: Simplify right side
    71,230.56x = 4,043,620,095.65
  5. Step 5: Solve for x
    x = 4,043,620,095.65/71,230.56
  6. Step 6: Final answer
    x = 56,768.05

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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.