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Finding the Fourth Proportional to 34,095.33, 47,062.19 and 27,716.81

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Solution

The fourth proportional to 34,095.33, 47,062.19 and 27,716.81 is: 38,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,095.33 : 47,062.19 = 27,716.81 : x
  2. Step 2: Convert to fraction form
    34,095.33/47,062.19 = 27,716.81/x
  3. Step 3: Cross multiply
    34,095.33x = 47,062.19 × 27,716.81
  4. Step 4: Simplify right side
    34,095.33x = 1,304,413,666.80
  5. Step 5: Solve for x
    x = 1,304,413,666.80/34,095.33
  6. Step 6: Final answer
    x = 38,257.84

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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.