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Finding the Fourth Proportional to 23,971.50, 35,939.53 and 8,172.35

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Solution

The fourth proportional to 23,971.50, 35,939.53 and 8,172.35 is: 12,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.50 : 35,939.53 = 8,172.35 : x
  2. Step 2: Convert to fraction form
    23,971.50/35,939.53 = 8,172.35/x
  3. Step 3: Cross multiply
    23,971.50x = 35,939.53 × 8,172.35
  4. Step 4: Simplify right side
    23,971.50x = 293,710,418.00
  5. Step 5: Solve for x
    x = 293,710,418.00/23,971.50
  6. Step 6: Final answer
    x = 12,252.48

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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.