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Finding the Fourth Proportional to 36,130.92, 49,860.66 and 20,215.38

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Solution

The fourth proportional to 36,130.92, 49,860.66 and 20,215.38 is: 27,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,130.92 : 49,860.66 = 20,215.38 : x
  2. Step 2: Convert to fraction form
    36,130.92/49,860.66 = 20,215.38/x
  3. Step 3: Cross multiply
    36,130.92x = 49,860.66 × 20,215.38
  4. Step 4: Simplify right side
    36,130.92x = 1,007,952,188.95
  5. Step 5: Solve for x
    x = 1,007,952,188.95/36,130.92
  6. Step 6: Final answer
    x = 27,897.22

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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.