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Finding the Fourth Proportional to 32,751.20, 49,085.70 and 14,009.21

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Solution

The fourth proportional to 32,751.20, 49,085.70 and 14,009.21 is: 20,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751.20 : 49,085.70 = 14,009.21 : x
  2. Step 2: Convert to fraction form
    32,751.20/49,085.70 = 14,009.21/x
  3. Step 3: Cross multiply
    32,751.20x = 49,085.70 × 14,009.21
  4. Step 4: Simplify right side
    32,751.20x = 687,651,765.41
  5. Step 5: Solve for x
    x = 687,651,765.41/32,751.20
  6. Step 6: Final answer
    x = 20,996.23

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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.