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Finding the Fourth Proportional to 32,558, 48,837.24 and 7,934

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Solution

The fourth proportional to 32,558, 48,837.24 and 7,934 is: 11,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,558 : 48,837.24 = 7,934 : x
  2. Step 2: Convert to fraction form
    32,558/48,837.24 = 7,934/x
  3. Step 3: Cross multiply
    32,558x = 48,837.24 × 7,934
  4. Step 4: Simplify right side
    32,558x = 387,474,662.16
  5. Step 5: Solve for x
    x = 387,474,662.16/32,558
  6. Step 6: Final answer
    x = 11,901.06

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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.