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Finding the Fourth Proportional to 80,442.84, 111,027.29 and 46,456.86

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Solution

The fourth proportional to 80,442.84, 111,027.29 and 46,456.86 is: 64,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,442.84 : 111,027.29 = 46,456.86 : x
  2. Step 2: Convert to fraction form
    80,442.84/111,027.29 = 46,456.86/x
  3. Step 3: Cross multiply
    80,442.84x = 111,027.29 × 46,456.86
  4. Step 4: Simplify right side
    80,442.84x = 5,157,979,267.71
  5. Step 5: Solve for x
    x = 5,157,979,267.71/80,442.84
  6. Step 6: Final answer
    x = 64,119.81

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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.