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Finding the Fourth Proportional to 84,167.88, 116,162.78 and 53,543.96

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Solution

The fourth proportional to 84,167.88, 116,162.78 and 53,543.96 is: 73,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,167.88 : 116,162.78 = 53,543.96 : x
  2. Step 2: Convert to fraction form
    84,167.88/116,162.78 = 53,543.96/x
  3. Step 3: Cross multiply
    84,167.88x = 116,162.78 × 53,543.96
  4. Step 4: Simplify right side
    84,167.88x = 6,219,815,245.81
  5. Step 5: Solve for x
    x = 6,219,815,245.81/84,167.88
  6. Step 6: Final answer
    x = 73,897.73

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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.