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Finding the Fourth Proportional to 36,158, 54,237.96 and 11,534

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Solution

The fourth proportional to 36,158, 54,237.96 and 11,534 is: 17,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,158 : 54,237.96 = 11,534 : x
  2. Step 2: Convert to fraction form
    36,158/54,237.96 = 11,534/x
  3. Step 3: Cross multiply
    36,158x = 54,237.96 × 11,534
  4. Step 4: Simplify right side
    36,158x = 625,580,630.64
  5. Step 5: Solve for x
    x = 625,580,630.64/36,158
  6. Step 6: Final answer
    x = 17,301.31

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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.