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Finding the Fourth Proportional to 32,321.66, 48,482.33 and 8,305.95

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Solution

The fourth proportional to 32,321.66, 48,482.33 and 8,305.95 is: 12,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321.66 : 48,482.33 = 8,305.95 : x
  2. Step 2: Convert to fraction form
    32,321.66/48,482.33 = 8,305.95/x
  3. Step 3: Cross multiply
    32,321.66x = 48,482.33 × 8,305.95
  4. Step 4: Simplify right side
    32,321.66x = 402,691,619.93
  5. Step 5: Solve for x
    x = 402,691,619.93/32,321.66
  6. Step 6: Final answer
    x = 12,458.88

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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.