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Finding the Fourth Proportional to 73,640, 110,465.76 and 24,392

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Solution

The fourth proportional to 73,640, 110,465.76 and 24,392 is: 36,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,640 : 110,465.76 = 24,392 : x
  2. Step 2: Convert to fraction form
    73,640/110,465.76 = 24,392/x
  3. Step 3: Cross multiply
    73,640x = 110,465.76 × 24,392
  4. Step 4: Simplify right side
    73,640x = 2,694,480,817.92
  5. Step 5: Solve for x
    x = 2,694,480,817.92/73,640
  6. Step 6: Final answer
    x = 36,589.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.