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Finding the Fourth Proportional to 97,850.25, 135,033.35 and 53,138.25

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Solution

The fourth proportional to 97,850.25, 135,033.35 and 53,138.25 is: 73,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,850.25 : 135,033.35 = 53,138.25 : x
  2. Step 2: Convert to fraction form
    97,850.25/135,033.35 = 53,138.25/x
  3. Step 3: Cross multiply
    97,850.25x = 135,033.35 × 53,138.25
  4. Step 4: Simplify right side
    97,850.25x = 7,175,435,644.95
  5. Step 5: Solve for x
    x = 7,175,435,644.95/97,850.25
  6. Step 6: Final answer
    x = 73,330.79

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1.5x scale

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.