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Finding the Fourth Proportional to 47,462.33, 65,487.13 and 28,338.38

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Solution

The fourth proportional to 47,462.33, 65,487.13 and 28,338.38 is: 39,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,462.33 : 65,487.13 = 28,338.38 : x
  2. Step 2: Convert to fraction form
    47,462.33/65,487.13 = 28,338.38/x
  3. Step 3: Cross multiply
    47,462.33x = 65,487.13 × 28,338.38
  4. Step 4: Simplify right side
    47,462.33x = 1,855,799,175.05
  5. Step 5: Solve for x
    x = 1,855,799,175.05/47,462.33
  6. Step 6: Final answer
    x = 39,100.47

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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.