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Finding the Fourth Proportional to 20,881, 31,321.50 and 7,030

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Solution

The fourth proportional to 20,881, 31,321.50 and 7,030 is: 10,545

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881 : 31,321.50 = 7,030 : x
  2. Step 2: Convert to fraction form
    20,881/31,321.50 = 7,030/x
  3. Step 3: Cross multiply
    20,881x = 31,321.50 × 7,030
  4. Step 4: Simplify right side
    20,881x = 220,190,145
  5. Step 5: Solve for x
    x = 220,190,145/20,881
  6. Step 6: Final answer
    x = 10,545

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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.