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Finding the Fourth Proportional to 36,158.50, 54,238.71 and 11,534.50

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Solution

The fourth proportional to 36,158.50, 54,238.71 and 11,534.50 is: 17,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,158.50 : 54,238.71 = 11,534.50 : x
  2. Step 2: Convert to fraction form
    36,158.50/54,238.71 = 11,534.50/x
  3. Step 3: Cross multiply
    36,158.50x = 54,238.71 × 11,534.50
  4. Step 4: Simplify right side
    36,158.50x = 625,616,400.50
  5. Step 5: Solve for x
    x = 625,616,400.50/36,158.50
  6. Step 6: Final answer
    x = 17,302.06

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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.