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Finding the Fourth Proportional to 56,164.59, 84,218.71 and 18,711.50

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Solution

The fourth proportional to 56,164.59, 84,218.71 and 18,711.50 is: 28,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,164.59 : 84,218.71 = 18,711.50 : x
  2. Step 2: Convert to fraction form
    56,164.59/84,218.71 = 18,711.50/x
  3. Step 3: Cross multiply
    56,164.59x = 84,218.71 × 18,711.50
  4. Step 4: Simplify right side
    56,164.59x = 1,575,858,392.17
  5. Step 5: Solve for x
    x = 1,575,858,392.17/56,164.59
  6. Step 6: Final answer
    x = 28,057.86

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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.