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Finding the Fourth Proportional to 80,054.16, 110,481.48 and 46,518

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Solution

The fourth proportional to 80,054.16, 110,481.48 and 46,518 is: 64,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,054.16 : 110,481.48 = 46,518 : x
  2. Step 2: Convert to fraction form
    80,054.16/110,481.48 = 46,518/x
  3. Step 3: Cross multiply
    80,054.16x = 110,481.48 × 46,518
  4. Step 4: Simplify right side
    80,054.16x = 5,139,377,486.64
  5. Step 5: Solve for x
    x = 5,139,377,486.64/80,054.16
  6. Step 6: Final answer
    x = 64,198.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.