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Finding the Fourth Proportional to 59,562.81, 82,198.62 and 34,412.31

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Solution

The fourth proportional to 59,562.81, 82,198.62 and 34,412.31 is: 47,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,562.81 : 82,198.62 = 34,412.31 : x
  2. Step 2: Convert to fraction form
    59,562.81/82,198.62 = 34,412.31/x
  3. Step 3: Cross multiply
    59,562.81x = 82,198.62 × 34,412.31
  4. Step 4: Simplify right side
    59,562.81x = 2,828,644,393.01
  5. Step 5: Solve for x
    x = 2,828,644,393.01/59,562.81
  6. Step 6: Final answer
    x = 47,490.11

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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.