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Finding the Fourth Proportional to 53,813.91, 80,733.14 and 16,379.28

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Solution

The fourth proportional to 53,813.91, 80,733.14 and 16,379.28 is: 24,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,813.91 : 80,733.14 = 16,379.28 : x
  2. Step 2: Convert to fraction form
    53,813.91/80,733.14 = 16,379.28/x
  3. Step 3: Cross multiply
    53,813.91x = 80,733.14 × 16,379.28
  4. Step 4: Simplify right side
    53,813.91x = 1,322,350,948.12
  5. Step 5: Solve for x
    x = 1,322,350,948.12/53,813.91
  6. Step 6: Final answer
    x = 24,572.66

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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.