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Finding the Fourth Proportional to 84,393.78, 116,474.93 and 48,582.90

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Solution

The fourth proportional to 84,393.78, 116,474.93 and 48,582.90 is: 67,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,393.78 : 116,474.93 = 48,582.90 : x
  2. Step 2: Convert to fraction form
    84,393.78/116,474.93 = 48,582.90/x
  3. Step 3: Cross multiply
    84,393.78x = 116,474.93 × 48,582.90
  4. Step 4: Simplify right side
    84,393.78x = 5,658,689,876.70
  5. Step 5: Solve for x
    x = 5,658,689,876.70/84,393.78
  6. Step 6: Final answer
    x = 67,051.03

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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.