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Finding the Fourth Proportional to 32,121.52, 44,282.72 and 27,692.40

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Solution

The fourth proportional to 32,121.52, 44,282.72 and 27,692.40 is: 38,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,121.52 : 44,282.72 = 27,692.40 : x
  2. Step 2: Convert to fraction form
    32,121.52/44,282.72 = 27,692.40/x
  3. Step 3: Cross multiply
    32,121.52x = 44,282.72 × 27,692.40
  4. Step 4: Simplify right side
    32,121.52x = 1,226,294,795.33
  5. Step 5: Solve for x
    x = 1,226,294,795.33/32,121.52
  6. Step 6: Final answer
    x = 38,176.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.