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Finding the Fourth Proportional to 53,514, 80,264.60 and 14,074.19

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Solution

The fourth proportional to 53,514, 80,264.60 and 14,074.19 is: 21,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,514 : 80,264.60 = 14,074.19 : x
  2. Step 2: Convert to fraction form
    53,514/80,264.60 = 14,074.19/x
  3. Step 3: Cross multiply
    53,514x = 80,264.60 × 14,074.19
  4. Step 4: Simplify right side
    53,514x = 1,129,658,758.98
  5. Step 5: Solve for x
    x = 1,129,658,758.98/53,514
  6. Step 6: Final answer
    x = 21,109.59

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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.