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Finding the Fourth Proportional to 97,785.78, 134,944.50 and 53,073.78

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Solution

The fourth proportional to 97,785.78, 134,944.50 and 53,073.78 is: 73,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785.78 : 134,944.50 = 53,073.78 : x
  2. Step 2: Convert to fraction form
    97,785.78/134,944.50 = 53,073.78/x
  3. Step 3: Cross multiply
    97,785.78x = 134,944.50 × 53,073.78
  4. Step 4: Simplify right side
    97,785.78x = 7,162,014,705.21
  5. Step 5: Solve for x
    x = 7,162,014,705.21/97,785.78
  6. Step 6: Final answer
    x = 73,241.88

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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.