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Finding the Fourth Proportional to 37,098.86, 51,195.54 and 20,102.38

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Solution

The fourth proportional to 37,098.86, 51,195.54 and 20,102.38 is: 27,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098.86 : 51,195.54 = 20,102.38 : x
  2. Step 2: Convert to fraction form
    37,098.86/51,195.54 = 20,102.38/x
  3. Step 3: Cross multiply
    37,098.86x = 51,195.54 × 20,102.38
  4. Step 4: Simplify right side
    37,098.86x = 1,029,152,146.78
  5. Step 5: Solve for x
    x = 1,029,152,146.78/37,098.86
  6. Step 6: Final answer
    x = 27,740.80

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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.