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Finding the Fourth Proportional to 100,949.76, 151,424.64 and 63,936

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Solution

The fourth proportional to 100,949.76, 151,424.64 and 63,936 is: 95,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,949.76 : 151,424.64 = 63,936 : x
  2. Step 2: Convert to fraction form
    100,949.76/151,424.64 = 63,936/x
  3. Step 3: Cross multiply
    100,949.76x = 151,424.64 × 63,936
  4. Step 4: Simplify right side
    100,949.76x = 9,681,485,783.04
  5. Step 5: Solve for x
    x = 9,681,485,783.04/100,949.76
  6. Step 6: Final answer
    x = 95,904.00

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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.