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Finding the Fourth Proportional to 32,848.17, 49,092.25 and 23,982.17

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Solution

The fourth proportional to 32,848.17, 49,092.25 and 23,982.17 is: 35,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,848.17 : 49,092.25 = 23,982.17 : x
  2. Step 2: Convert to fraction form
    32,848.17/49,092.25 = 23,982.17/x
  3. Step 3: Cross multiply
    32,848.17x = 49,092.25 × 23,982.17
  4. Step 4: Simplify right side
    32,848.17x = 1,177,338,565.27
  5. Step 5: Solve for x
    x = 1,177,338,565.27/32,848.17
  6. Step 6: Final answer
    x = 35,841.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.