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Finding the Fourth Proportional to 53,857.40, 80,780.40 and 14,418.52

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Solution

The fourth proportional to 53,857.40, 80,780.40 and 14,418.52 is: 21,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.40 : 80,780.40 = 14,418.52 : x
  2. Step 2: Convert to fraction form
    53,857.40/80,780.40 = 14,418.52/x
  3. Step 3: Cross multiply
    53,857.40x = 80,780.40 × 14,418.52
  4. Step 4: Simplify right side
    53,857.40x = 1,164,733,813.01
  5. Step 5: Solve for x
    x = 1,164,733,813.01/53,857.40
  6. Step 6: Final answer
    x = 21,626.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.