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Finding the Fourth Proportional to 76,069.17, 114,139.32 and 33,944.82

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Solution

The fourth proportional to 76,069.17, 114,139.32 and 33,944.82 is: 50,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,069.17 : 114,139.32 = 33,944.82 : x
  2. Step 2: Convert to fraction form
    76,069.17/114,139.32 = 33,944.82/x
  3. Step 3: Cross multiply
    76,069.17x = 114,139.32 × 33,944.82
  4. Step 4: Simplify right side
    76,069.17x = 3,874,438,672.32
  5. Step 5: Solve for x
    x = 3,874,438,672.32/76,069.17
  6. Step 6: Final answer
    x = 50,933.10

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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.