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Finding the Fourth Proportional to 51,331.08, 77,001.50 and 20,159.08

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Solution

The fourth proportional to 51,331.08, 77,001.50 and 20,159.08 is: 30,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,331.08 : 77,001.50 = 20,159.08 : x
  2. Step 2: Convert to fraction form
    51,331.08/77,001.50 = 20,159.08/x
  3. Step 3: Cross multiply
    51,331.08x = 77,001.50 × 20,159.08
  4. Step 4: Simplify right side
    51,331.08x = 1,552,279,398.62
  5. Step 5: Solve for x
    x = 1,552,279,398.62/51,331.08
  6. Step 6: Final answer
    x = 30,240.54

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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.