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Finding the Fourth Proportional to 72,407.48, 108,612.78 and 41,177

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Solution

The fourth proportional to 72,407.48, 108,612.78 and 41,177 is: 61,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,407.48 : 108,612.78 = 41,177 : x
  2. Step 2: Convert to fraction form
    72,407.48/108,612.78 = 41,177/x
  3. Step 3: Cross multiply
    72,407.48x = 108,612.78 × 41,177
  4. Step 4: Simplify right side
    72,407.48x = 4,472,348,442.06
  5. Step 5: Solve for x
    x = 4,472,348,442.06/72,407.48
  6. Step 6: Final answer
    x = 61,766.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.