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Finding the Fourth Proportional to 106,047.16, 159,046.14 and 46,850.56

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Solution

The fourth proportional to 106,047.16, 159,046.14 and 46,850.56 is: 70,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,047.16 : 159,046.14 = 46,850.56 : x
  2. Step 2: Convert to fraction form
    106,047.16/159,046.14 = 46,850.56/x
  3. Step 3: Cross multiply
    106,047.16x = 159,046.14 × 46,850.56
  4. Step 4: Simplify right side
    106,047.16x = 7,451,400,724.84
  5. Step 5: Solve for x
    x = 7,451,400,724.84/106,047.16
  6. Step 6: Final answer
    x = 70,264.97

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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.