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Finding the Fourth Proportional to 53,647.38, 74,031.98 and 29,773.44

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Solution

The fourth proportional to 53,647.38, 74,031.98 and 29,773.44 is: 41,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,647.38 : 74,031.98 = 29,773.44 : x
  2. Step 2: Convert to fraction form
    53,647.38/74,031.98 = 29,773.44/x
  3. Step 3: Cross multiply
    53,647.38x = 74,031.98 × 29,773.44
  4. Step 4: Simplify right side
    53,647.38x = 2,204,186,565.74
  5. Step 5: Solve for x
    x = 2,204,186,565.74/53,647.38
  6. Step 6: Final answer
    x = 41,086.57

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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.