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Finding the Fourth Proportional to 71,629.40, 107,411.70 and 32,166.20

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Solution

The fourth proportional to 71,629.40, 107,411.70 and 32,166.20 is: 48,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,629.40 : 107,411.70 = 32,166.20 : x
  2. Step 2: Convert to fraction form
    71,629.40/107,411.70 = 32,166.20/x
  3. Step 3: Cross multiply
    71,629.40x = 107,411.70 × 32,166.20
  4. Step 4: Simplify right side
    71,629.40x = 3,455,026,224.54
  5. Step 5: Solve for x
    x = 3,455,026,224.54/71,629.40
  6. Step 6: Final answer
    x = 48,234.75

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1.5x scale

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.