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Finding the Fourth Proportional to 83,203.17, 114,824.97 and 47,404.41

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Solution

The fourth proportional to 83,203.17, 114,824.97 and 47,404.41 is: 65,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,203.17 : 114,824.97 = 47,404.41 : x
  2. Step 2: Convert to fraction form
    83,203.17/114,824.97 = 47,404.41/x
  3. Step 3: Cross multiply
    83,203.17x = 114,824.97 × 47,404.41
  4. Step 4: Simplify right side
    83,203.17x = 5,443,209,956.12
  5. Step 5: Solve for x
    x = 5,443,209,956.12/83,203.17
  6. Step 6: Final answer
    x = 65,420.70

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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.