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Finding the Fourth Proportional to 84,381.96, 116,469.46 and 52,531.95

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Solution

The fourth proportional to 84,381.96, 116,469.46 and 52,531.95 is: 72,508.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,381.96 : 116,469.46 = 52,531.95 : x
  2. Step 2: Convert to fraction form
    84,381.96/116,469.46 = 52,531.95/x
  3. Step 3: Cross multiply
    84,381.96x = 116,469.46 × 52,531.95
  4. Step 4: Simplify right side
    84,381.96x = 6,118,367,849.25
  5. Step 5: Solve for x
    x = 6,118,367,849.25/84,381.96
  6. Step 6: Final answer
    x = 72,508.01

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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.