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Finding the Fourth Proportional to 101,715.92, 152,616 and 54,913.76

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Solution

The fourth proportional to 101,715.92, 152,616 and 54,913.76 is: 82,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,715.92 : 152,616 = 54,913.76 : x
  2. Step 2: Convert to fraction form
    101,715.92/152,616 = 54,913.76/x
  3. Step 3: Cross multiply
    101,715.92x = 152,616 × 54,913.76
  4. Step 4: Simplify right side
    101,715.92x = 8,380,718,396.16
  5. Step 5: Solve for x
    x = 8,380,718,396.16/101,715.92
  6. Step 6: Final answer
    x = 82,393.38

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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.