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Finding the Fourth Proportional to 32,279.41, 48,415.25 and 8,588.70

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Solution

The fourth proportional to 32,279.41, 48,415.25 and 8,588.70 is: 12,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,279.41 : 48,415.25 = 8,588.70 : x
  2. Step 2: Convert to fraction form
    32,279.41/48,415.25 = 8,588.70/x
  3. Step 3: Cross multiply
    32,279.41x = 48,415.25 × 8,588.70
  4. Step 4: Simplify right side
    32,279.41x = 415,824,079.15
  5. Step 5: Solve for x
    x = 415,824,079.15/32,279.41
  6. Step 6: Final answer
    x = 12,882.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.