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Finding the Fourth Proportional to 32,540.52, 48,768.11 and 18,507

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Solution

The fourth proportional to 32,540.52, 48,768.11 and 18,507 is: 27,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,540.52 : 48,768.11 = 18,507 : x
  2. Step 2: Convert to fraction form
    32,540.52/48,768.11 = 18,507/x
  3. Step 3: Cross multiply
    32,540.52x = 48,768.11 × 18,507
  4. Step 4: Simplify right side
    32,540.52x = 902,551,319.24
  5. Step 5: Solve for x
    x = 902,551,319.24/32,540.52
  6. Step 6: Final answer
    x = 27,736.23

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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.