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Finding the Fourth Proportional to 85,339.68, 117,789.84 and 51,833.76

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Solution

The fourth proportional to 85,339.68, 117,789.84 and 51,833.76 is: 71,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,339.68 : 117,789.84 = 51,833.76 : x
  2. Step 2: Convert to fraction form
    85,339.68/117,789.84 = 51,833.76/x
  3. Step 3: Cross multiply
    85,339.68x = 117,789.84 × 51,833.76
  4. Step 4: Simplify right side
    85,339.68x = 6,105,490,297.00
  5. Step 5: Solve for x
    x = 6,105,490,297.00/85,339.68
  6. Step 6: Final answer
    x = 71,543.39

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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.