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Finding the Fourth Proportional to 84,913.68, 117,183.72 and 47,189.52

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Solution

The fourth proportional to 84,913.68, 117,183.72 and 47,189.52 is: 65,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,913.68 : 117,183.72 = 47,189.52 : x
  2. Step 2: Convert to fraction form
    84,913.68/117,183.72 = 47,189.52/x
  3. Step 3: Cross multiply
    84,913.68x = 117,183.72 × 47,189.52
  4. Step 4: Simplify right side
    84,913.68x = 5,529,843,498.61
  5. Step 5: Solve for x
    x = 5,529,843,498.61/84,913.68
  6. Step 6: Final answer
    x = 65,123.12

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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.