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Finding the Fourth Proportional to 68,127.78, 102,043.96 and 32,993.76

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Solution

The fourth proportional to 68,127.78, 102,043.96 and 32,993.76 is: 49,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,127.78 : 102,043.96 = 32,993.76 : x
  2. Step 2: Convert to fraction form
    68,127.78/102,043.96 = 32,993.76/x
  3. Step 3: Cross multiply
    68,127.78x = 102,043.96 × 32,993.76
  4. Step 4: Simplify right side
    68,127.78x = 3,366,813,925.69
  5. Step 5: Solve for x
    x = 3,366,813,925.69/68,127.78
  6. Step 6: Final answer
    x = 49,419.11

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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.