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Finding the Fourth Proportional to 53,726.13, 74,144.30 and 29,853

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Solution

The fourth proportional to 53,726.13, 74,144.30 and 29,853 is: 41,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,726.13 : 74,144.30 = 29,853 : x
  2. Step 2: Convert to fraction form
    53,726.13/74,144.30 = 29,853/x
  3. Step 3: Cross multiply
    53,726.13x = 74,144.30 × 29,853
  4. Step 4: Simplify right side
    53,726.13x = 2,213,429,638.64
  5. Step 5: Solve for x
    x = 2,213,429,638.64/53,726.13
  6. Step 6: Final answer
    x = 41,198.38

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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.