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Finding the Fourth Proportional to 52,803.28, 72,822 and 32,656.96

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Solution

The fourth proportional to 52,803.28, 72,822 and 32,656.96 is: 45,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,803.28 : 72,822 = 32,656.96 : x
  2. Step 2: Convert to fraction form
    52,803.28/72,822 = 32,656.96/x
  3. Step 3: Cross multiply
    52,803.28x = 72,822 × 32,656.96
  4. Step 4: Simplify right side
    52,803.28x = 2,378,145,141.12
  5. Step 5: Solve for x
    x = 2,378,145,141.12/52,803.28
  6. Step 6: Final answer
    x = 45,037.83

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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.