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Finding the Fourth Proportional to 37,033, 51,105.54 and 20,266

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Solution

The fourth proportional to 37,033, 51,105.54 and 20,266 is: 27,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,033 : 51,105.54 = 20,266 : x
  2. Step 2: Convert to fraction form
    37,033/51,105.54 = 20,266/x
  3. Step 3: Cross multiply
    37,033x = 51,105.54 × 20,266
  4. Step 4: Simplify right side
    37,033x = 1,035,704,873.64
  5. Step 5: Solve for x
    x = 1,035,704,873.64/37,033
  6. Step 6: Final answer
    x = 27,967.08

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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.