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Finding the Fourth Proportional to 20,937.72, 31,407.66 and 5,355.48

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Solution

The fourth proportional to 20,937.72, 31,407.66 and 5,355.48 is: 8,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.72 : 31,407.66 = 5,355.48 : x
  2. Step 2: Convert to fraction form
    20,937.72/31,407.66 = 5,355.48/x
  3. Step 3: Cross multiply
    20,937.72x = 31,407.66 × 5,355.48
  4. Step 4: Simplify right side
    20,937.72x = 168,203,094.98
  5. Step 5: Solve for x
    x = 168,203,094.98/20,937.72
  6. Step 6: Final answer
    x = 8,033.50

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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.