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Finding the Fourth Proportional to 85,345.62, 117,776.89 and 47,619.87

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Solution

The fourth proportional to 85,345.62, 117,776.89 and 47,619.87 is: 65,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,345.62 : 117,776.89 = 47,619.87 : x
  2. Step 2: Convert to fraction form
    85,345.62/117,776.89 = 47,619.87/x
  3. Step 3: Cross multiply
    85,345.62x = 117,776.89 × 47,619.87
  4. Step 4: Simplify right side
    85,345.62x = 5,608,519,952.70
  5. Step 5: Solve for x
    x = 5,608,519,952.70/85,345.62
  6. Step 6: Final answer
    x = 65,715.38

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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.