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Finding the Fourth Proportional to 80,694, 111,358.16 and 46,702.48

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Solution

The fourth proportional to 80,694, 111,358.16 and 46,702.48 is: 64,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,694 : 111,358.16 = 46,702.48 : x
  2. Step 2: Convert to fraction form
    80,694/111,358.16 = 46,702.48/x
  3. Step 3: Cross multiply
    80,694x = 111,358.16 × 46,702.48
  4. Step 4: Simplify right side
    80,694x = 5,200,702,240.24
  5. Step 5: Solve for x
    x = 5,200,702,240.24/80,694
  6. Step 6: Final answer
    x = 64,449.68

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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.