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Finding the Fourth Proportional to 101,097.36, 151,640.56 and 30,976.87

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Solution

The fourth proportional to 101,097.36, 151,640.56 and 30,976.87 is: 46,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097.36 : 151,640.56 = 30,976.87 : x
  2. Step 2: Convert to fraction form
    101,097.36/151,640.56 = 30,976.87/x
  3. Step 3: Cross multiply
    101,097.36x = 151,640.56 × 30,976.87
  4. Step 4: Simplify right side
    101,097.36x = 4,697,349,913.85
  5. Step 5: Solve for x
    x = 4,697,349,913.85/101,097.36
  6. Step 6: Final answer
    x = 46,463.63

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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.