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Finding the Fourth Proportional to 71,053.92, 106,479.12 and 52,185.84

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Solution

The fourth proportional to 71,053.92, 106,479.12 and 52,185.84 is: 78,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,053.92 : 106,479.12 = 52,185.84 : x
  2. Step 2: Convert to fraction form
    71,053.92/106,479.12 = 52,185.84/x
  3. Step 3: Cross multiply
    71,053.92x = 106,479.12 × 52,185.84
  4. Step 4: Simplify right side
    71,053.92x = 5,556,702,319.66
  5. Step 5: Solve for x
    x = 5,556,702,319.66/71,053.92
  6. Step 6: Final answer
    x = 78,204.02

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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.