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Finding the Fourth Proportional to 32,876.96, 45,369.36 and 17,972

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Solution

The fourth proportional to 32,876.96, 45,369.36 and 17,972 is: 24,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876.96 : 45,369.36 = 17,972 : x
  2. Step 2: Convert to fraction form
    32,876.96/45,369.36 = 17,972/x
  3. Step 3: Cross multiply
    32,876.96x = 45,369.36 × 17,972
  4. Step 4: Simplify right side
    32,876.96x = 815,378,137.92
  5. Step 5: Solve for x
    x = 815,378,137.92/32,876.96
  6. Step 6: Final answer
    x = 24,800.90

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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.