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Finding the Fourth Proportional to 32,014.24, 44,199.12 and 21,959.20

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Solution

The fourth proportional to 32,014.24, 44,199.12 and 21,959.20 is: 30,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.24 : 44,199.12 = 21,959.20 : x
  2. Step 2: Convert to fraction form
    32,014.24/44,199.12 = 21,959.20/x
  3. Step 3: Cross multiply
    32,014.24x = 44,199.12 × 21,959.20
  4. Step 4: Simplify right side
    32,014.24x = 970,577,315.90
  5. Step 5: Solve for x
    x = 970,577,315.90/32,014.24
  6. Step 6: Final answer
    x = 30,317.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.