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Finding the Fourth Proportional to 97,794.36, 134,924.67 and 54,767.43

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Solution

The fourth proportional to 97,794.36, 134,924.67 and 54,767.43 is: 75,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794.36 : 134,924.67 = 54,767.43 : x
  2. Step 2: Convert to fraction form
    97,794.36/134,924.67 = 54,767.43/x
  3. Step 3: Cross multiply
    97,794.36x = 134,924.67 × 54,767.43
  4. Step 4: Simplify right side
    97,794.36x = 7,389,477,419.50
  5. Step 5: Solve for x
    x = 7,389,477,419.50/97,794.36
  6. Step 6: Final answer
    x = 75,561.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.