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Finding the Fourth Proportional to 36,564.38, 54,846.56 and 8,862.38

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Solution

The fourth proportional to 36,564.38, 54,846.56 and 8,862.38 is: 13,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,564.38 : 54,846.56 = 8,862.38 : x
  2. Step 2: Convert to fraction form
    36,564.38/54,846.56 = 8,862.38/x
  3. Step 3: Cross multiply
    36,564.38x = 54,846.56 × 8,862.38
  4. Step 4: Simplify right side
    36,564.38x = 486,070,804.34
  5. Step 5: Solve for x
    x = 486,070,804.34/36,564.38
  6. Step 6: Final answer
    x = 13,293.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.