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Finding the Fourth Proportional to 77,383.48, 106,743.83 and 48,657.61

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Solution

The fourth proportional to 77,383.48, 106,743.83 and 48,657.61 is: 67,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,383.48 : 106,743.83 = 48,657.61 : x
  2. Step 2: Convert to fraction form
    77,383.48/106,743.83 = 48,657.61/x
  3. Step 3: Cross multiply
    77,383.48x = 106,743.83 × 48,657.61
  4. Step 4: Simplify right side
    77,383.48x = 5,193,899,504.83
  5. Step 5: Solve for x
    x = 5,193,899,504.83/77,383.48
  6. Step 6: Final answer
    x = 67,118.97

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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.