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Finding the Fourth Proportional to 52,647.84, 72,674.16 and 32,508

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Solution

The fourth proportional to 52,647.84, 72,674.16 and 32,508 is: 44,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647.84 : 72,674.16 = 32,508 : x
  2. Step 2: Convert to fraction form
    52,647.84/72,674.16 = 32,508/x
  3. Step 3: Cross multiply
    52,647.84x = 72,674.16 × 32,508
  4. Step 4: Simplify right side
    52,647.84x = 2,362,491,593.28
  5. Step 5: Solve for x
    x = 2,362,491,593.28/52,647.84
  6. Step 6: Final answer
    x = 44,873.48

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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.