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Finding the Fourth Proportional to 82,991.90, 114,518 and 47,181.14

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Solution

The fourth proportional to 82,991.90, 114,518 and 47,181.14 is: 65,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,991.90 : 114,518 = 47,181.14 : x
  2. Step 2: Convert to fraction form
    82,991.90/114,518 = 47,181.14/x
  3. Step 3: Cross multiply
    82,991.90x = 114,518 × 47,181.14
  4. Step 4: Simplify right side
    82,991.90x = 5,403,089,790.52
  5. Step 5: Solve for x
    x = 5,403,089,790.52/82,991.90
  6. Step 6: Final answer
    x = 65,103.82

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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.