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Finding the Fourth Proportional to 77,448.96, 116,222.64 and 33,076.08

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Solution

The fourth proportional to 77,448.96, 116,222.64 and 33,076.08 is: 49,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,448.96 : 116,222.64 = 33,076.08 : x
  2. Step 2: Convert to fraction form
    77,448.96/116,222.64 = 33,076.08/x
  3. Step 3: Cross multiply
    77,448.96x = 116,222.64 × 33,076.08
  4. Step 4: Simplify right side
    77,448.96x = 3,844,189,338.45
  5. Step 5: Solve for x
    x = 3,844,189,338.45/77,448.96
  6. Step 6: Final answer
    x = 49,635.13

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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.