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Finding the Fourth Proportional to 32,015.36, 44,128.32 and 21,401.12

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Solution

The fourth proportional to 32,015.36, 44,128.32 and 21,401.12 is: 29,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.36 : 44,128.32 = 21,401.12 : x
  2. Step 2: Convert to fraction form
    32,015.36/44,128.32 = 21,401.12/x
  3. Step 3: Cross multiply
    32,015.36x = 44,128.32 × 21,401.12
  4. Step 4: Simplify right side
    32,015.36x = 944,395,471.72
  5. Step 5: Solve for x
    x = 944,395,471.72/32,015.36
  6. Step 6: Final answer
    x = 29,498.20

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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.