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Finding the Fourth Proportional to 78,097.54, 117,052.42 and 35,919.50

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Solution

The fourth proportional to 78,097.54, 117,052.42 and 35,919.50 is: 53,836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,097.54 : 117,052.42 = 35,919.50 : x
  2. Step 2: Convert to fraction form
    78,097.54/117,052.42 = 35,919.50/x
  3. Step 3: Cross multiply
    78,097.54x = 117,052.42 × 35,919.50
  4. Step 4: Simplify right side
    78,097.54x = 4,204,464,349.87
  5. Step 5: Solve for x
    x = 4,204,464,349.87/78,097.54
  6. Step 6: Final answer
    x = 53,836.06

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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.