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Finding the Fourth Proportional to 32,146.40, 44,354.85 and 19,401.66

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Solution

The fourth proportional to 32,146.40, 44,354.85 and 19,401.66 is: 26,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.40 : 44,354.85 = 19,401.66 : x
  2. Step 2: Convert to fraction form
    32,146.40/44,354.85 = 19,401.66/x
  3. Step 3: Cross multiply
    32,146.40x = 44,354.85 × 19,401.66
  4. Step 4: Simplify right side
    32,146.40x = 860,557,719.05
  5. Step 5: Solve for x
    x = 860,557,719.05/32,146.40
  6. Step 6: Final answer
    x = 26,769.96

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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.