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Finding the Fourth Proportional to 106,700.87, 159,923.46 and 49,697.93

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Solution

The fourth proportional to 106,700.87, 159,923.46 and 49,697.93 is: 74,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,700.87 : 159,923.46 = 49,697.93 : x
  2. Step 2: Convert to fraction form
    106,700.87/159,923.46 = 49,697.93/x
  3. Step 3: Cross multiply
    106,700.87x = 159,923.46 × 49,697.93
  4. Step 4: Simplify right side
    106,700.87x = 7,947,864,920.44
  5. Step 5: Solve for x
    x = 7,947,864,920.44/106,700.87
  6. Step 6: Final answer
    x = 74,487.35

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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.