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Finding the Fourth Proportional to 53,998.86, 80,942.85 and 25,877.82

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Solution

The fourth proportional to 53,998.86, 80,942.85 and 25,877.82 is: 38,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,998.86 : 80,942.85 = 25,877.82 : x
  2. Step 2: Convert to fraction form
    53,998.86/80,942.85 = 25,877.82/x
  3. Step 3: Cross multiply
    53,998.86x = 80,942.85 × 25,877.82
  4. Step 4: Simplify right side
    53,998.86x = 2,094,624,502.59
  5. Step 5: Solve for x
    x = 2,094,624,502.59/53,998.86
  6. Step 6: Final answer
    x = 38,790.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.