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Finding the Fourth Proportional to 81,930.72, 113,066.50 and 46,122

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Solution

The fourth proportional to 81,930.72, 113,066.50 and 46,122 is: 63,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.72 : 113,066.50 = 46,122 : x
  2. Step 2: Convert to fraction form
    81,930.72/113,066.50 = 46,122/x
  3. Step 3: Cross multiply
    81,930.72x = 113,066.50 × 46,122
  4. Step 4: Simplify right side
    81,930.72x = 5,214,853,113
  5. Step 5: Solve for x
    x = 5,214,853,113/81,930.72
  6. Step 6: Final answer
    x = 63,649.55

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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.