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Finding the Fourth Proportional to 36,972, 51,003.52 and 24,219.62

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Solution

The fourth proportional to 36,972, 51,003.52 and 24,219.62 is: 33,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 51,003.52 = 24,219.62 : x
  2. Step 2: Convert to fraction form
    36,972/51,003.52 = 24,219.62/x
  3. Step 3: Cross multiply
    36,972x = 51,003.52 × 24,219.62
  4. Step 4: Simplify right side
    36,972x = 1,235,285,873.06
  5. Step 5: Solve for x
    x = 1,235,285,873.06/36,972
  6. Step 6: Final answer
    x = 33,411.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.