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Finding the Fourth Proportional to 55,722.78, 83,584.71 and 14,169.78

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Solution

The fourth proportional to 55,722.78, 83,584.71 and 14,169.78 is: 21,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,722.78 : 83,584.71 = 14,169.78 : x
  2. Step 2: Convert to fraction form
    55,722.78/83,584.71 = 14,169.78/x
  3. Step 3: Cross multiply
    55,722.78x = 83,584.71 × 14,169.78
  4. Step 4: Simplify right side
    55,722.78x = 1,184,376,952.06
  5. Step 5: Solve for x
    x = 1,184,376,952.06/55,722.78
  6. Step 6: Final answer
    x = 21,254.81

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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.