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Finding the Fourth Proportional to 32,881, 45,376.50 and 17,977

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Solution

The fourth proportional to 32,881, 45,376.50 and 17,977 is: 24,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881 : 45,376.50 = 17,977 : x
  2. Step 2: Convert to fraction form
    32,881/45,376.50 = 17,977/x
  3. Step 3: Cross multiply
    32,881x = 45,376.50 × 17,977
  4. Step 4: Simplify right side
    32,881x = 815,733,340.50
  5. Step 5: Solve for x
    x = 815,733,340.50/32,881
  6. Step 6: Final answer
    x = 24,808.65

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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.