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Finding the Fourth Proportional to 53,876.91, 80,808.06 and 14,434.38

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Solution

The fourth proportional to 53,876.91, 80,808.06 and 14,434.38 is: 21,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,876.91 : 80,808.06 = 14,434.38 : x
  2. Step 2: Convert to fraction form
    53,876.91/80,808.06 = 14,434.38/x
  3. Step 3: Cross multiply
    53,876.91x = 80,808.06 × 14,434.38
  4. Step 4: Simplify right side
    53,876.91x = 1,166,414,245.10
  5. Step 5: Solve for x
    x = 1,166,414,245.10/53,876.91
  6. Step 6: Final answer
    x = 21,649.61

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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.