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Finding the Fourth Proportional to 84,683.81, 116,863.49 and 48,873.83

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Solution

The fourth proportional to 84,683.81, 116,863.49 and 48,873.83 is: 67,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,683.81 : 116,863.49 = 48,873.83 : x
  2. Step 2: Convert to fraction form
    84,683.81/116,863.49 = 48,873.83/x
  3. Step 3: Cross multiply
    84,683.81x = 116,863.49 × 48,873.83
  4. Step 4: Simplify right side
    84,683.81x = 5,711,565,514.78
  5. Step 5: Solve for x
    x = 5,711,565,514.78/84,683.81
  6. Step 6: Final answer
    x = 67,445.78

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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.