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Finding the Fourth Proportional to 80,434, 110,999.01 and 46,906.48

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Solution

The fourth proportional to 80,434, 110,999.01 and 46,906.48 is: 64,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,434 : 110,999.01 = 46,906.48 : x
  2. Step 2: Convert to fraction form
    80,434/110,999.01 = 46,906.48/x
  3. Step 3: Cross multiply
    80,434x = 110,999.01 × 46,906.48
  4. Step 4: Simplify right side
    80,434x = 5,206,572,842.58
  5. Step 5: Solve for x
    x = 5,206,572,842.58/80,434
  6. Step 6: Final answer
    x = 64,730.99

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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.