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Finding the Fourth Proportional to 70,115.56, 96,758.74 and 38,284.36

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Solution

The fourth proportional to 70,115.56, 96,758.74 and 38,284.36 is: 52,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,115.56 : 96,758.74 = 38,284.36 : x
  2. Step 2: Convert to fraction form
    70,115.56/96,758.74 = 38,284.36/x
  3. Step 3: Cross multiply
    70,115.56x = 96,758.74 × 38,284.36
  4. Step 4: Simplify right side
    70,115.56x = 3,704,346,435.31
  5. Step 5: Solve for x
    x = 3,704,346,435.31/70,115.56
  6. Step 6: Final answer
    x = 52,832.02

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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.