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Finding the Fourth Proportional to 23,447, 35,170.50 and 7,031

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Solution

The fourth proportional to 23,447, 35,170.50 and 7,031 is: 10,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447 : 35,170.50 = 7,031 : x
  2. Step 2: Convert to fraction form
    23,447/35,170.50 = 7,031/x
  3. Step 3: Cross multiply
    23,447x = 35,170.50 × 7,031
  4. Step 4: Simplify right side
    23,447x = 247,283,785.50
  5. Step 5: Solve for x
    x = 247,283,785.50/23,447
  6. Step 6: Final answer
    x = 10,546.50

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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.