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Finding the Fourth Proportional to 83,202.86, 114,819.80 and 47,392.86

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Solution

The fourth proportional to 83,202.86, 114,819.80 and 47,392.86 is: 65,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.86 : 114,819.80 = 47,392.86 : x
  2. Step 2: Convert to fraction form
    83,202.86/114,819.80 = 47,392.86/x
  3. Step 3: Cross multiply
    83,202.86x = 114,819.80 × 47,392.86
  4. Step 4: Simplify right side
    83,202.86x = 5,441,638,706.63
  5. Step 5: Solve for x
    x = 5,441,638,706.63/83,202.86
  6. Step 6: Final answer
    x = 65,402.06

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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.