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Finding the Fourth Proportional to 84,793.54, 117,009.78 and 48,977.74

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Solution

The fourth proportional to 84,793.54, 117,009.78 and 48,977.74 is: 67,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,793.54 : 117,009.78 = 48,977.74 : x
  2. Step 2: Convert to fraction form
    84,793.54/117,009.78 = 48,977.74/x
  3. Step 3: Cross multiply
    84,793.54x = 117,009.78 × 48,977.74
  4. Step 4: Simplify right side
    84,793.54x = 5,730,874,582.30
  5. Step 5: Solve for x
    x = 5,730,874,582.30/84,793.54
  6. Step 6: Final answer
    x = 67,586.22

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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.