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Finding the Fourth Proportional to 84,524.72, 116,644.15 and 52,693.74

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Solution

The fourth proportional to 84,524.72, 116,644.15 and 52,693.74 is: 72,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,524.72 : 116,644.15 = 52,693.74 : x
  2. Step 2: Convert to fraction form
    84,524.72/116,644.15 = 52,693.74/x
  3. Step 3: Cross multiply
    84,524.72x = 116,644.15 × 52,693.74
  4. Step 4: Simplify right side
    84,524.72x = 6,146,416,578.49
  5. Step 5: Solve for x
    x = 6,146,416,578.49/84,524.72
  6. Step 6: Final answer
    x = 72,717.39

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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.