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Finding the Fourth Proportional to 32,189.82, 44,411.33 and 19,438.17

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Solution

The fourth proportional to 32,189.82, 44,411.33 and 19,438.17 is: 26,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.82 : 44,411.33 = 19,438.17 : x
  2. Step 2: Convert to fraction form
    32,189.82/44,411.33 = 19,438.17/x
  3. Step 3: Cross multiply
    32,189.82x = 44,411.33 × 19,438.17
  4. Step 4: Simplify right side
    32,189.82x = 863,274,885.28
  5. Step 5: Solve for x
    x = 863,274,885.28/32,189.82
  6. Step 6: Final answer
    x = 26,818.26

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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.