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Finding the Fourth Proportional to 33,098.27, 45,670.46 and 18,948.38

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Solution

The fourth proportional to 33,098.27, 45,670.46 and 18,948.38 is: 26,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.27 : 45,670.46 = 18,948.38 : x
  2. Step 2: Convert to fraction form
    33,098.27/45,670.46 = 18,948.38/x
  3. Step 3: Cross multiply
    33,098.27x = 45,670.46 × 18,948.38
  4. Step 4: Simplify right side
    33,098.27x = 865,380,907.76
  5. Step 5: Solve for x
    x = 865,380,907.76/33,098.27
  6. Step 6: Final answer
    x = 26,145.81

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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.