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Finding the Fourth Proportional to 53,853.40, 80,774.40 and 14,414.50

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Solution

The fourth proportional to 53,853.40, 80,774.40 and 14,414.50 is: 21,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,853.40 : 80,774.40 = 14,414.50 : x
  2. Step 2: Convert to fraction form
    53,853.40/80,774.40 = 14,414.50/x
  3. Step 3: Cross multiply
    53,853.40x = 80,774.40 × 14,414.50
  4. Step 4: Simplify right side
    53,853.40x = 1,164,322,588.80
  5. Step 5: Solve for x
    x = 1,164,322,588.80/53,853.40
  6. Step 6: Final answer
    x = 21,620.22

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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.