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Finding the Fourth Proportional to 36,275.70, 54,422.74 and 17,564.70

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Solution

The fourth proportional to 36,275.70, 54,422.74 and 17,564.70 is: 26,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,275.70 : 54,422.74 = 17,564.70 : x
  2. Step 2: Convert to fraction form
    36,275.70/54,422.74 = 17,564.70/x
  3. Step 3: Cross multiply
    36,275.70x = 54,422.74 × 17,564.70
  4. Step 4: Simplify right side
    36,275.70x = 955,919,101.28
  5. Step 5: Solve for x
    x = 955,919,101.28/36,275.70
  6. Step 6: Final answer
    x = 26,351.50

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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.