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Finding the Fourth Proportional to 69,893.58, 96,455.66 and 41,200.14

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Solution

The fourth proportional to 69,893.58, 96,455.66 and 41,200.14 is: 56,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,893.58 : 96,455.66 = 41,200.14 : x
  2. Step 2: Convert to fraction form
    69,893.58/96,455.66 = 41,200.14/x
  3. Step 3: Cross multiply
    69,893.58x = 96,455.66 × 41,200.14
  4. Step 4: Simplify right side
    69,893.58x = 3,973,987,083.25
  5. Step 5: Solve for x
    x = 3,973,987,083.25/69,893.58
  6. Step 6: Final answer
    x = 56,857.68

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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.