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Finding the Fourth Proportional to 36,637.56, 54,956.22 and 13,258.50

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Solution

The fourth proportional to 36,637.56, 54,956.22 and 13,258.50 is: 19,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,637.56 : 54,956.22 = 13,258.50 : x
  2. Step 2: Convert to fraction form
    36,637.56/54,956.22 = 13,258.50/x
  3. Step 3: Cross multiply
    36,637.56x = 54,956.22 × 13,258.50
  4. Step 4: Simplify right side
    36,637.56x = 728,637,042.87
  5. Step 5: Solve for x
    x = 728,637,042.87/36,637.56
  6. Step 6: Final answer
    x = 19,887.71

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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.