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Finding the Fourth Proportional to 32,116.50, 44,320.77 and 17,972.08

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Solution

The fourth proportional to 32,116.50, 44,320.77 and 17,972.08 is: 24,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.50 : 44,320.77 = 17,972.08 : x
  2. Step 2: Convert to fraction form
    32,116.50/44,320.77 = 17,972.08/x
  3. Step 3: Cross multiply
    32,116.50x = 44,320.77 × 17,972.08
  4. Step 4: Simplify right side
    32,116.50x = 796,536,313.30
  5. Step 5: Solve for x
    x = 796,536,313.30/32,116.50
  6. Step 6: Final answer
    x = 24,801.47

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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.