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Finding the Fourth Proportional to 38,286.81, 52,836.71 and 21,291.77

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Solution

The fourth proportional to 38,286.81, 52,836.71 and 21,291.77 is: 29,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286.81 : 52,836.71 = 21,291.77 : x
  2. Step 2: Convert to fraction form
    38,286.81/52,836.71 = 21,291.77/x
  3. Step 3: Cross multiply
    38,286.81x = 52,836.71 × 21,291.77
  4. Step 4: Simplify right side
    38,286.81x = 1,124,986,706.23
  5. Step 5: Solve for x
    x = 1,124,986,706.23/38,286.81
  6. Step 6: Final answer
    x = 29,383.14

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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.