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Finding the Fourth Proportional to 77,921.68, 116,767.48 and 35,697.60

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Solution

The fourth proportional to 77,921.68, 116,767.48 and 35,697.60 is: 53,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,921.68 : 116,767.48 = 35,697.60 : x
  2. Step 2: Convert to fraction form
    77,921.68/116,767.48 = 35,697.60/x
  3. Step 3: Cross multiply
    77,921.68x = 116,767.48 × 35,697.60
  4. Step 4: Simplify right side
    77,921.68x = 4,168,318,794.05
  5. Step 5: Solve for x
    x = 4,168,318,794.05/77,921.68
  6. Step 6: Final answer
    x = 53,493.70

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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.