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Finding the Fourth Proportional to 71,054.46, 106,479.90 and 52,186.50

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Solution

The fourth proportional to 71,054.46, 106,479.90 and 52,186.50 is: 78,204.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,054.46 : 106,479.90 = 52,186.50 : x
  2. Step 2: Convert to fraction form
    71,054.46/106,479.90 = 52,186.50/x
  3. Step 3: Cross multiply
    71,054.46x = 106,479.90 × 52,186.50
  4. Step 4: Simplify right side
    71,054.46x = 5,556,813,301.35
  5. Step 5: Solve for x
    x = 5,556,813,301.35/71,054.46
  6. Step 6: Final answer
    x = 78,204.99

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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.