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Finding the Fourth Proportional to 86,196.26, 118,948.57 and 47,953.87

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Solution

The fourth proportional to 86,196.26, 118,948.57 and 47,953.87 is: 66,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,196.26 : 118,948.57 = 47,953.87 : x
  2. Step 2: Convert to fraction form
    86,196.26/118,948.57 = 47,953.87/x
  3. Step 3: Cross multiply
    86,196.26x = 118,948.57 × 47,953.87
  4. Step 4: Simplify right side
    86,196.26x = 5,704,043,845.21
  5. Step 5: Solve for x
    x = 5,704,043,845.21/86,196.26
  6. Step 6: Final answer
    x = 66,175.07

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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.