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Finding the Fourth Proportional to 59,679.49, 82,356.05 and 32,822

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Solution

The fourth proportional to 59,679.49, 82,356.05 and 32,822 is: 45,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,679.49 : 82,356.05 = 32,822 : x
  2. Step 2: Convert to fraction form
    59,679.49/82,356.05 = 32,822/x
  3. Step 3: Cross multiply
    59,679.49x = 82,356.05 × 32,822
  4. Step 4: Simplify right side
    59,679.49x = 2,703,090,273.10
  5. Step 5: Solve for x
    x = 2,703,090,273.10/59,679.49
  6. Step 6: Final answer
    x = 45,293.45

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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.