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Finding the Fourth Proportional to 53,648.93, 74,044.31 and 29,783.31

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Solution

The fourth proportional to 53,648.93, 74,044.31 and 29,783.31 is: 41,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,648.93 : 74,044.31 = 29,783.31 : x
  2. Step 2: Convert to fraction form
    53,648.93/74,044.31 = 29,783.31/x
  3. Step 3: Cross multiply
    53,648.93x = 74,044.31 × 29,783.31
  4. Step 4: Simplify right side
    53,648.93x = 2,205,284,489.55
  5. Step 5: Solve for x
    x = 2,205,284,489.55/53,648.93
  6. Step 6: Final answer
    x = 41,105.85

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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.