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Finding the Fourth Proportional to 36,117.56, 49,842.24 and 23,542.31

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Solution

The fourth proportional to 36,117.56, 49,842.24 and 23,542.31 is: 32,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,117.56 : 49,842.24 = 23,542.31 : x
  2. Step 2: Convert to fraction form
    36,117.56/49,842.24 = 23,542.31/x
  3. Step 3: Cross multiply
    36,117.56x = 49,842.24 × 23,542.31
  4. Step 4: Simplify right side
    36,117.56x = 1,173,401,501.50
  5. Step 5: Solve for x
    x = 1,173,401,501.50/36,117.56
  6. Step 6: Final answer
    x = 32,488.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.