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Finding the Fourth Proportional to 32,170.80, 48,256.20 and 21,673.20

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Solution

The fourth proportional to 32,170.80, 48,256.20 and 21,673.20 is: 32,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.80 : 48,256.20 = 21,673.20 : x
  2. Step 2: Convert to fraction form
    32,170.80/48,256.20 = 21,673.20/x
  3. Step 3: Cross multiply
    32,170.80x = 48,256.20 × 21,673.20
  4. Step 4: Simplify right side
    32,170.80x = 1,045,866,273.84
  5. Step 5: Solve for x
    x = 1,045,866,273.84/32,170.80
  6. Step 6: Final answer
    x = 32,509.80

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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.