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Finding the Fourth Proportional to 36,108.89, 49,842.80 and 24,815.77

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Solution

The fourth proportional to 36,108.89, 49,842.80 and 24,815.77 is: 34,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,108.89 : 49,842.80 = 24,815.77 : x
  2. Step 2: Convert to fraction form
    36,108.89/49,842.80 = 24,815.77/x
  3. Step 3: Cross multiply
    36,108.89x = 49,842.80 × 24,815.77
  4. Step 4: Simplify right side
    36,108.89x = 1,236,887,460.96
  5. Step 5: Solve for x
    x = 1,236,887,460.96/36,108.89
  6. Step 6: Final answer
    x = 34,254.38

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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.