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Finding the Fourth Proportional to 70,170.24, 96,822.72 and 41,874.24

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Solution

The fourth proportional to 70,170.24, 96,822.72 and 41,874.24 is: 57,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,170.24 : 96,822.72 = 41,874.24 : x
  2. Step 2: Convert to fraction form
    70,170.24/96,822.72 = 41,874.24/x
  3. Step 3: Cross multiply
    70,170.24x = 96,822.72 × 41,874.24
  4. Step 4: Simplify right side
    70,170.24x = 4,054,377,814.73
  5. Step 5: Solve for x
    x = 4,054,377,814.73/70,170.24
  6. Step 6: Final answer
    x = 57,779.16

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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.