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Finding the Fourth Proportional to 24,190, 36,219.38 and 21,201.10

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Solution

The fourth proportional to 24,190, 36,219.38 and 21,201.10 is: 31,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190 : 36,219.38 = 21,201.10 : x
  2. Step 2: Convert to fraction form
    24,190/36,219.38 = 21,201.10/x
  3. Step 3: Cross multiply
    24,190x = 36,219.38 × 21,201.10
  4. Step 4: Simplify right side
    24,190x = 767,890,697.32
  5. Step 5: Solve for x
    x = 767,890,697.32/24,190
  6. Step 6: Final answer
    x = 31,744.14

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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.