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Finding the Fourth Proportional to 48,206.49, 72,309.74 and 21,892.78

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Solution

The fourth proportional to 48,206.49, 72,309.74 and 21,892.78 is: 32,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,206.49 : 72,309.74 = 21,892.78 : x
  2. Step 2: Convert to fraction form
    48,206.49/72,309.74 = 21,892.78/x
  3. Step 3: Cross multiply
    48,206.49x = 72,309.74 × 21,892.78
  4. Step 4: Simplify right side
    48,206.49x = 1,583,061,272.17
  5. Step 5: Solve for x
    x = 1,583,061,272.17/48,206.49
  6. Step 6: Final answer
    x = 32,839.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.