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Finding the Fourth Proportional to 71,165.58, 106,765.86 and 50,146.64

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Solution

The fourth proportional to 71,165.58, 106,765.86 and 50,146.64 is: 75,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165.58 : 106,765.86 = 50,146.64 : x
  2. Step 2: Convert to fraction form
    71,165.58/106,765.86 = 50,146.64/x
  3. Step 3: Cross multiply
    71,165.58x = 106,765.86 × 50,146.64
  4. Step 4: Simplify right side
    71,165.58x = 5,353,949,145.71
  5. Step 5: Solve for x
    x = 5,353,949,145.71/71,165.58
  6. Step 6: Final answer
    x = 75,232.28

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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.