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Finding the Fourth Proportional to 36,746.31, 55,119.74 and 9,044.31

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Solution

The fourth proportional to 36,746.31, 55,119.74 and 9,044.31 is: 13,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,746.31 : 55,119.74 = 9,044.31 : x
  2. Step 2: Convert to fraction form
    36,746.31/55,119.74 = 9,044.31/x
  3. Step 3: Cross multiply
    36,746.31x = 55,119.74 × 9,044.31
  4. Step 4: Simplify right side
    36,746.31x = 498,520,015.68
  5. Step 5: Solve for x
    x = 498,520,015.68/36,746.31
  6. Step 6: Final answer
    x = 13,566.53

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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.