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Finding the Fourth Proportional to 97,394.62, 134,410.86 and 54,952.24

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Solution

The fourth proportional to 97,394.62, 134,410.86 and 54,952.24 is: 75,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,394.62 : 134,410.86 = 54,952.24 : x
  2. Step 2: Convert to fraction form
    97,394.62/134,410.86 = 54,952.24/x
  3. Step 3: Cross multiply
    97,394.62x = 134,410.86 × 54,952.24
  4. Step 4: Simplify right side
    97,394.62x = 7,386,177,837.33
  5. Step 5: Solve for x
    x = 7,386,177,837.33/97,394.62
  6. Step 6: Final answer
    x = 75,837.64

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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.