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Finding the Fourth Proportional to 36,776, 50,751.24 and 20,009.36

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Solution

The fourth proportional to 36,776, 50,751.24 and 20,009.36 is: 27,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,776 : 50,751.24 = 20,009.36 : x
  2. Step 2: Convert to fraction form
    36,776/50,751.24 = 20,009.36/x
  3. Step 3: Cross multiply
    36,776x = 50,751.24 × 20,009.36
  4. Step 4: Simplify right side
    36,776x = 1,015,499,831.61
  5. Step 5: Solve for x
    x = 1,015,499,831.61/36,776
  6. Step 6: Final answer
    x = 27,613.11

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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.