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Finding the Fourth Proportional to 39,046.66, 53,884.38 and 21,141.82

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Solution

The fourth proportional to 39,046.66, 53,884.38 and 21,141.82 is: 29,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,046.66 : 53,884.38 = 21,141.82 : x
  2. Step 2: Convert to fraction form
    39,046.66/53,884.38 = 21,141.82/x
  3. Step 3: Cross multiply
    39,046.66x = 53,884.38 × 21,141.82
  4. Step 4: Simplify right side
    39,046.66x = 1,139,213,862.77
  5. Step 5: Solve for x
    x = 1,139,213,862.77/39,046.66
  6. Step 6: Final answer
    x = 29,175.71

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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.