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Finding the Fourth Proportional to 29,777.38, 41,092.61 and 16,348.86

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Solution

The fourth proportional to 29,777.38, 41,092.61 and 16,348.86 is: 22,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.38 : 41,092.61 = 16,348.86 : x
  2. Step 2: Convert to fraction form
    29,777.38/41,092.61 = 16,348.86/x
  3. Step 3: Cross multiply
    29,777.38x = 41,092.61 × 16,348.86
  4. Step 4: Simplify right side
    29,777.38x = 671,817,040.72
  5. Step 5: Solve for x
    x = 671,817,040.72/29,777.38
  6. Step 6: Final answer
    x = 22,561.32

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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.