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Finding the Fourth Proportional to 39,042.38, 53,878.52 and 21,137.40

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Solution

The fourth proportional to 39,042.38, 53,878.52 and 21,137.40 is: 29,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,042.38 : 53,878.52 = 21,137.40 : x
  2. Step 2: Convert to fraction form
    39,042.38/53,878.52 = 21,137.40/x
  3. Step 3: Cross multiply
    39,042.38x = 53,878.52 × 21,137.40
  4. Step 4: Simplify right side
    39,042.38x = 1,138,851,881.49
  5. Step 5: Solve for x
    x = 1,138,851,881.49/39,042.38
  6. Step 6: Final answer
    x = 29,169.63

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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.