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Finding the Fourth Proportional to 84,098.80, 116,051.92 and 52,267

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Solution

The fourth proportional to 84,098.80, 116,051.92 and 52,267 is: 72,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,098.80 : 116,051.92 = 52,267 : x
  2. Step 2: Convert to fraction form
    84,098.80/116,051.92 = 52,267/x
  3. Step 3: Cross multiply
    84,098.80x = 116,051.92 × 52,267
  4. Step 4: Simplify right side
    84,098.80x = 6,065,685,702.64
  5. Step 5: Solve for x
    x = 6,065,685,702.64/84,098.80
  6. Step 6: Final answer
    x = 72,125.71

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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.