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Finding the Fourth Proportional to 32,414.88, 48,642.81 and 12,692.91

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Solution

The fourth proportional to 32,414.88, 48,642.81 and 12,692.91 is: 19,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.88 : 48,642.81 = 12,692.91 : x
  2. Step 2: Convert to fraction form
    32,414.88/48,642.81 = 12,692.91/x
  3. Step 3: Cross multiply
    32,414.88x = 48,642.81 × 12,692.91
  4. Step 4: Simplify right side
    32,414.88x = 617,418,809.48
  5. Step 5: Solve for x
    x = 617,418,809.48/32,414.88
  6. Step 6: Final answer
    x = 19,047.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.