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Finding the Fourth Proportional to 32,644.88, 48,967.85 and 14,176.88

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Solution

The fourth proportional to 32,644.88, 48,967.85 and 14,176.88 is: 21,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,644.88 : 48,967.85 = 14,176.88 : x
  2. Step 2: Convert to fraction form
    32,644.88/48,967.85 = 14,176.88/x
  3. Step 3: Cross multiply
    32,644.88x = 48,967.85 × 14,176.88
  4. Step 4: Simplify right side
    32,644.88x = 694,211,123.91
  5. Step 5: Solve for x
    x = 694,211,123.91/32,644.88
  6. Step 6: Final answer
    x = 21,265.55

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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.