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Finding the Fourth Proportional to 37,129.80, 51,231.88 and 22,019.64

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Solution

The fourth proportional to 37,129.80, 51,231.88 and 22,019.64 is: 30,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129.80 : 51,231.88 = 22,019.64 : x
  2. Step 2: Convert to fraction form
    37,129.80/51,231.88 = 22,019.64/x
  3. Step 3: Cross multiply
    37,129.80x = 51,231.88 × 22,019.64
  4. Step 4: Simplify right side
    37,129.80x = 1,128,107,554.12
  5. Step 5: Solve for x
    x = 1,128,107,554.12/37,129.80
  6. Step 6: Final answer
    x = 30,382.81

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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.