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Finding the Fourth Proportional to 39,062.42, 53,906 and 21,157.38

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Solution

The fourth proportional to 39,062.42, 53,906 and 21,157.38 is: 29,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,062.42 : 53,906 = 21,157.38 : x
  2. Step 2: Convert to fraction form
    39,062.42/53,906 = 21,157.38/x
  3. Step 3: Cross multiply
    39,062.42x = 53,906 × 21,157.38
  4. Step 4: Simplify right side
    39,062.42x = 1,140,509,726.28
  5. Step 5: Solve for x
    x = 1,140,509,726.28/39,062.42
  6. Step 6: Final answer
    x = 29,197.11

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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.