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Finding the Fourth Proportional to 59,678.25, 82,358.06 and 32,822.79

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Solution

The fourth proportional to 59,678.25, 82,358.06 and 32,822.79 is: 45,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,678.25 : 82,358.06 = 32,822.79 : x
  2. Step 2: Convert to fraction form
    59,678.25/82,358.06 = 32,822.79/x
  3. Step 3: Cross multiply
    59,678.25x = 82,358.06 × 32,822.79
  4. Step 4: Simplify right side
    59,678.25x = 2,703,221,144.07
  5. Step 5: Solve for x
    x = 2,703,221,144.07/59,678.25
  6. Step 6: Final answer
    x = 45,296.59

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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.