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Finding the Fourth Proportional to 32,231.52, 48,361.14 and 17,451

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Solution

The fourth proportional to 32,231.52, 48,361.14 and 17,451 is: 26,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.52 : 48,361.14 = 17,451 : x
  2. Step 2: Convert to fraction form
    32,231.52/48,361.14 = 17,451/x
  3. Step 3: Cross multiply
    32,231.52x = 48,361.14 × 17,451
  4. Step 4: Simplify right side
    32,231.52x = 843,950,254.14
  5. Step 5: Solve for x
    x = 843,950,254.14/32,231.52
  6. Step 6: Final answer
    x = 26,184.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.