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Finding the Fourth Proportional to 84,152.86, 116,141.22 and 48,342.78

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Solution

The fourth proportional to 84,152.86, 116,141.22 and 48,342.78 is: 66,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,152.86 : 116,141.22 = 48,342.78 : x
  2. Step 2: Convert to fraction form
    84,152.86/116,141.22 = 48,342.78/x
  3. Step 3: Cross multiply
    84,152.86x = 116,141.22 × 48,342.78
  4. Step 4: Simplify right side
    84,152.86x = 5,614,589,447.39
  5. Step 5: Solve for x
    x = 5,614,589,447.39/84,152.86
  6. Step 6: Final answer
    x = 66,718.94

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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.