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Finding the Fourth Proportional to 80,333.54, 110,856.02 and 46,340

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Solution

The fourth proportional to 80,333.54, 110,856.02 and 46,340 is: 63,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,333.54 : 110,856.02 = 46,340 : x
  2. Step 2: Convert to fraction form
    80,333.54/110,856.02 = 46,340/x
  3. Step 3: Cross multiply
    80,333.54x = 110,856.02 × 46,340
  4. Step 4: Simplify right side
    80,333.54x = 5,137,067,735.10
  5. Step 5: Solve for x
    x = 5,137,067,735.10/80,333.54
  6. Step 6: Final answer
    x = 63,946.74

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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.