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Finding the Fourth Proportional to 39,022.47, 53,851 and 21,117.47

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Solution

The fourth proportional to 39,022.47, 53,851 and 21,117.47 is: 29,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,022.47 : 53,851 = 21,117.47 : x
  2. Step 2: Convert to fraction form
    39,022.47/53,851 = 21,117.47/x
  3. Step 3: Cross multiply
    39,022.47x = 53,851 × 21,117.47
  4. Step 4: Simplify right side
    39,022.47x = 1,137,196,876.97
  5. Step 5: Solve for x
    x = 1,137,196,876.97/39,022.47
  6. Step 6: Final answer
    x = 29,142.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.