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Finding the Fourth Proportional to 55,877, 83,820.54 and 14,324.36

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Solution

The fourth proportional to 55,877, 83,820.54 and 14,324.36 is: 21,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,877 : 83,820.54 = 14,324.36 : x
  2. Step 2: Convert to fraction form
    55,877/83,820.54 = 14,324.36/x
  3. Step 3: Cross multiply
    55,877x = 83,820.54 × 14,324.36
  4. Step 4: Simplify right side
    55,877x = 1,200,675,590.35
  5. Step 5: Solve for x
    x = 1,200,675,590.35/55,877
  6. Step 6: Final answer
    x = 21,487.83

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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.