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Finding the Fourth Proportional to 87,004.48, 120,077.60 and 49,280

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Solution

The fourth proportional to 87,004.48, 120,077.60 and 49,280 is: 68,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,004.48 : 120,077.60 = 49,280 : x
  2. Step 2: Convert to fraction form
    87,004.48/120,077.60 = 49,280/x
  3. Step 3: Cross multiply
    87,004.48x = 120,077.60 × 49,280
  4. Step 4: Simplify right side
    87,004.48x = 5,917,424,128
  5. Step 5: Solve for x
    x = 5,917,424,128/87,004.48
  6. Step 6: Final answer
    x = 68,012.87

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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.