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Finding the Fourth Proportional to 32,692.38, 49,045.86 and 11,915.88

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Solution

The fourth proportional to 32,692.38, 49,045.86 and 11,915.88 is: 17,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692.38 : 49,045.86 = 11,915.88 : x
  2. Step 2: Convert to fraction form
    32,692.38/49,045.86 = 11,915.88/x
  3. Step 3: Cross multiply
    32,692.38x = 49,045.86 × 11,915.88
  4. Step 4: Simplify right side
    32,692.38x = 584,424,277.45
  5. Step 5: Solve for x
    x = 584,424,277.45/32,692.38
  6. Step 6: Final answer
    x = 17,876.47

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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.