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Finding the Fourth Proportional to 36,205.23, 49,966.02 and 20,291.16

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Solution

The fourth proportional to 36,205.23, 49,966.02 and 20,291.16 is: 28,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.23 : 49,966.02 = 20,291.16 : x
  2. Step 2: Convert to fraction form
    36,205.23/49,966.02 = 20,291.16/x
  3. Step 3: Cross multiply
    36,205.23x = 49,966.02 × 20,291.16
  4. Step 4: Simplify right side
    36,205.23x = 1,013,868,506.38
  5. Step 5: Solve for x
    x = 1,013,868,506.38/36,205.23
  6. Step 6: Final answer
    x = 28,003.37

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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.