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Finding the Fourth Proportional to 32,632.29, 48,951.84 and 13,914.30

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Solution

The fourth proportional to 32,632.29, 48,951.84 and 13,914.30 is: 20,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632.29 : 48,951.84 = 13,914.30 : x
  2. Step 2: Convert to fraction form
    32,632.29/48,951.84 = 13,914.30/x
  3. Step 3: Cross multiply
    32,632.29x = 48,951.84 × 13,914.30
  4. Step 4: Simplify right side
    32,632.29x = 681,130,587.31
  5. Step 5: Solve for x
    x = 681,130,587.31/32,632.29
  6. Step 6: Final answer
    x = 20,872.91

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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.