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Finding the Fourth Proportional to 36,922, 55,406.04 and 15,034

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Solution

The fourth proportional to 36,922, 55,406.04 and 15,034 is: 22,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,922 : 55,406.04 = 15,034 : x
  2. Step 2: Convert to fraction form
    36,922/55,406.04 = 15,034/x
  3. Step 3: Cross multiply
    36,922x = 55,406.04 × 15,034
  4. Step 4: Simplify right side
    36,922x = 832,974,405.36
  5. Step 5: Solve for x
    x = 832,974,405.36/36,922
  6. Step 6: Final answer
    x = 22,560.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.