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Finding the Fourth Proportional to 82,927.90, 114,440.53 and 47,117.96

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Solution

The fourth proportional to 82,927.90, 114,440.53 and 47,117.96 is: 65,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,927.90 : 114,440.53 = 47,117.96 : x
  2. Step 2: Convert to fraction form
    82,927.90/114,440.53 = 47,117.96/x
  3. Step 3: Cross multiply
    82,927.90x = 114,440.53 × 47,117.96
  4. Step 4: Simplify right side
    82,927.90x = 5,392,204,314.92
  5. Step 5: Solve for x
    x = 5,392,204,314.92/82,927.90
  6. Step 6: Final answer
    x = 65,022.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.