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Finding the Fourth Proportional to 82,663.67, 114,077.05 and 61,930.43

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Solution

The fourth proportional to 82,663.67, 114,077.05 and 61,930.43 is: 85,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663.67 : 114,077.05 = 61,930.43 : x
  2. Step 2: Convert to fraction form
    82,663.67/114,077.05 = 61,930.43/x
  3. Step 3: Cross multiply
    82,663.67x = 114,077.05 × 61,930.43
  4. Step 4: Simplify right side
    82,663.67x = 7,064,840,759.63
  5. Step 5: Solve for x
    x = 7,064,840,759.63/82,663.67
  6. Step 6: Final answer
    x = 85,464.88

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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.