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Finding the Fourth Proportional to 32,381.52, 48,583.88 and 11,327.34

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Solution

The fourth proportional to 32,381.52, 48,583.88 and 11,327.34 is: 16,995.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381.52 : 48,583.88 = 11,327.34 : x
  2. Step 2: Convert to fraction form
    32,381.52/48,583.88 = 11,327.34/x
  3. Step 3: Cross multiply
    32,381.52x = 48,583.88 × 11,327.34
  4. Step 4: Simplify right side
    32,381.52x = 550,326,359.03
  5. Step 5: Solve for x
    x = 550,326,359.03/32,381.52
  6. Step 6: Final answer
    x = 16,995.07

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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.