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Finding the Fourth Proportional to 89,772, 134,677.44 and 34,368

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Solution

The fourth proportional to 89,772, 134,677.44 and 34,368 is: 51,559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,772 : 134,677.44 = 34,368 : x
  2. Step 2: Convert to fraction form
    89,772/134,677.44 = 34,368/x
  3. Step 3: Cross multiply
    89,772x = 134,677.44 × 34,368
  4. Step 4: Simplify right side
    89,772x = 4,628,594,257.92
  5. Step 5: Solve for x
    x = 4,628,594,257.92/89,772
  6. Step 6: Final answer
    x = 51,559.44

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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.