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Finding the Fourth Proportional to 20,679.40, 31,019.28 and 5,888.30

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Solution

The fourth proportional to 20,679.40, 31,019.28 and 5,888.30 is: 8,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679.40 : 31,019.28 = 5,888.30 : x
  2. Step 2: Convert to fraction form
    20,679.40/31,019.28 = 5,888.30/x
  3. Step 3: Cross multiply
    20,679.40x = 31,019.28 × 5,888.30
  4. Step 4: Simplify right side
    20,679.40x = 182,650,796.98
  5. Step 5: Solve for x
    x = 182,650,796.98/20,679.40
  6. Step 6: Final answer
    x = 8,832.50

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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.