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Finding the Fourth Proportional to 82,997.61, 114,520.50 and 47,181.51

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Solution

The fourth proportional to 82,997.61, 114,520.50 and 47,181.51 is: 65,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,997.61 : 114,520.50 = 47,181.51 : x
  2. Step 2: Convert to fraction form
    82,997.61/114,520.50 = 47,181.51/x
  3. Step 3: Cross multiply
    82,997.61x = 114,520.50 × 47,181.51
  4. Step 4: Simplify right side
    82,997.61x = 5,403,250,115.96
  5. Step 5: Solve for x
    x = 5,403,250,115.96/82,997.61
  6. Step 6: Final answer
    x = 65,101.27

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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.