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Finding the Fourth Proportional to 32,141.82, 44,359.68 and 19,402.32

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Solution

The fourth proportional to 32,141.82, 44,359.68 and 19,402.32 is: 26,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.82 : 44,359.68 = 19,402.32 : x
  2. Step 2: Convert to fraction form
    32,141.82/44,359.68 = 19,402.32/x
  3. Step 3: Cross multiply
    32,141.82x = 44,359.68 × 19,402.32
  4. Step 4: Simplify right side
    32,141.82x = 860,680,609.45
  5. Step 5: Solve for x
    x = 860,680,609.45/32,141.82
  6. Step 6: Final answer
    x = 26,777.59

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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.