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Finding the Fourth Proportional to 83,207.61, 114,826.37 and 47,397.60

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Solution

The fourth proportional to 83,207.61, 114,826.37 and 47,397.60 is: 65,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207.61 : 114,826.37 = 47,397.60 : x
  2. Step 2: Convert to fraction form
    83,207.61/114,826.37 = 47,397.60/x
  3. Step 3: Cross multiply
    83,207.61x = 114,826.37 × 47,397.60
  4. Step 4: Simplify right side
    83,207.61x = 5,442,494,117.72
  5. Step 5: Solve for x
    x = 5,442,494,117.72/83,207.61
  6. Step 6: Final answer
    x = 65,408.61

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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.