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Finding the Fourth Proportional to 55,402.79, 83,161.89 and 25,849.13

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Solution

The fourth proportional to 55,402.79, 83,161.89 and 25,849.13 is: 38,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,402.79 : 83,161.89 = 25,849.13 : x
  2. Step 2: Convert to fraction form
    55,402.79/83,161.89 = 25,849.13/x
  3. Step 3: Cross multiply
    55,402.79x = 83,161.89 × 25,849.13
  4. Step 4: Simplify right side
    55,402.79x = 2,149,662,089.85
  5. Step 5: Solve for x
    x = 2,149,662,089.85/55,402.79
  6. Step 6: Final answer
    x = 38,800.61

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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.