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Finding the Fourth Proportional to 32,186.16, 48,279.27 and 18,306

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Solution

The fourth proportional to 32,186.16, 48,279.27 and 18,306 is: 27,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186.16 : 48,279.27 = 18,306 : x
  2. Step 2: Convert to fraction form
    32,186.16/48,279.27 = 18,306/x
  3. Step 3: Cross multiply
    32,186.16x = 48,279.27 × 18,306
  4. Step 4: Simplify right side
    32,186.16x = 883,800,316.62
  5. Step 5: Solve for x
    x = 883,800,316.62/32,186.16
  6. Step 6: Final answer
    x = 27,459.02

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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.