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Finding the Fourth Proportional to 61,847.82, 85,297.24 and 47,542.31

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Solution

The fourth proportional to 61,847.82, 85,297.24 and 47,542.31 is: 65,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,847.82 : 85,297.24 = 47,542.31 : x
  2. Step 2: Convert to fraction form
    61,847.82/85,297.24 = 47,542.31/x
  3. Step 3: Cross multiply
    61,847.82x = 85,297.24 × 47,542.31
  4. Step 4: Simplify right side
    61,847.82x = 4,055,227,399.74
  5. Step 5: Solve for x
    x = 4,055,227,399.74/61,847.82
  6. Step 6: Final answer
    x = 65,567.84

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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.