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Finding the Fourth Proportional to 59,345, 81,896.10 and 32,849

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Solution

The fourth proportional to 59,345, 81,896.10 and 32,849 is: 45,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,345 : 81,896.10 = 32,849 : x
  2. Step 2: Convert to fraction form
    59,345/81,896.10 = 32,849/x
  3. Step 3: Cross multiply
    59,345x = 81,896.10 × 32,849
  4. Step 4: Simplify right side
    59,345x = 2,690,204,988.90
  5. Step 5: Solve for x
    x = 2,690,204,988.90/59,345
  6. Step 6: Final answer
    x = 45,331.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.