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Finding the Fourth Proportional to 83,207.36, 114,826.02 and 47,397.35

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Solution

The fourth proportional to 83,207.36, 114,826.02 and 47,397.35 is: 65,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207.36 : 114,826.02 = 47,397.35 : x
  2. Step 2: Convert to fraction form
    83,207.36/114,826.02 = 47,397.35/x
  3. Step 3: Cross multiply
    83,207.36x = 114,826.02 × 47,397.35
  4. Step 4: Simplify right side
    83,207.36x = 5,442,449,059.05
  5. Step 5: Solve for x
    x = 5,442,449,059.05/83,207.36
  6. Step 6: Final answer
    x = 65,408.27

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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.