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Finding the Fourth Proportional to 37,971.20, 56,908.20 and 18,207.20

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Solution

The fourth proportional to 37,971.20, 56,908.20 and 18,207.20 is: 27,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971.20 : 56,908.20 = 18,207.20 : x
  2. Step 2: Convert to fraction form
    37,971.20/56,908.20 = 18,207.20/x
  3. Step 3: Cross multiply
    37,971.20x = 56,908.20 × 18,207.20
  4. Step 4: Simplify right side
    37,971.20x = 1,036,138,979.04
  5. Step 5: Solve for x
    x = 1,036,138,979.04/37,971.20
  6. Step 6: Final answer
    x = 27,287.50

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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.