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Finding the Fourth Proportional to 20,799.98, 31,199.93 and 5,005

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Solution

The fourth proportional to 20,799.98, 31,199.93 and 5,005 is: 7,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,799.98 : 31,199.93 = 5,005 : x
  2. Step 2: Convert to fraction form
    20,799.98/31,199.93 = 5,005/x
  3. Step 3: Cross multiply
    20,799.98x = 31,199.93 × 5,005
  4. Step 4: Simplify right side
    20,799.98x = 156,155,649.65
  5. Step 5: Solve for x
    x = 156,155,649.65/20,799.98
  6. Step 6: Final answer
    x = 7,507.49

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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.