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Finding the Fourth Proportional to 103,287.56, 154,919.46 and 32,215.64

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Solution

The fourth proportional to 103,287.56, 154,919.46 and 32,215.64 is: 48,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,287.56 : 154,919.46 = 32,215.64 : x
  2. Step 2: Convert to fraction form
    103,287.56/154,919.46 = 32,215.64/x
  3. Step 3: Cross multiply
    103,287.56x = 154,919.46 × 32,215.64
  4. Step 4: Simplify right side
    103,287.56x = 4,990,829,552.35
  5. Step 5: Solve for x
    x = 4,990,829,552.35/103,287.56
  6. Step 6: Final answer
    x = 48,319.75

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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.