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Finding the Fourth Proportional to 32,438.24, 44,764.84 and 17,534.24

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Solution

The fourth proportional to 32,438.24, 44,764.84 and 17,534.24 is: 24,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.24 : 44,764.84 = 17,534.24 : x
  2. Step 2: Convert to fraction form
    32,438.24/44,764.84 = 17,534.24/x
  3. Step 3: Cross multiply
    32,438.24x = 44,764.84 × 17,534.24
  4. Step 4: Simplify right side
    32,438.24x = 784,917,448.12
  5. Step 5: Solve for x
    x = 784,917,448.12/32,438.24
  6. Step 6: Final answer
    x = 24,197.29

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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.