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Finding the Fourth Proportional to 32,387.95, 48,522.74 and 23,481.20

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Solution

The fourth proportional to 32,387.95, 48,522.74 and 23,481.20 is: 35,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,387.95 : 48,522.74 = 23,481.20 : x
  2. Step 2: Convert to fraction form
    32,387.95/48,522.74 = 23,481.20/x
  3. Step 3: Cross multiply
    32,387.95x = 48,522.74 × 23,481.20
  4. Step 4: Simplify right side
    32,387.95x = 1,139,372,162.49
  5. Step 5: Solve for x
    x = 1,139,372,162.49/32,387.95
  6. Step 6: Final answer
    x = 35,178.89

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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.