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Finding the Fourth Proportional to 71,482, 107,223 and 48,970.48

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Solution

The fourth proportional to 71,482, 107,223 and 48,970.48 is: 73,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,482 : 107,223 = 48,970.48 : x
  2. Step 2: Convert to fraction form
    71,482/107,223 = 48,970.48/x
  3. Step 3: Cross multiply
    71,482x = 107,223 × 48,970.48
  4. Step 4: Simplify right side
    71,482x = 5,250,761,777.04
  5. Step 5: Solve for x
    x = 5,250,761,777.04/71,482
  6. Step 6: Final answer
    x = 73,455.72

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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.