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Finding the Fourth Proportional to 60,474, 83,454.12 and 35,323.68

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Solution

The fourth proportional to 60,474, 83,454.12 and 35,323.68 is: 48,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,474 : 83,454.12 = 35,323.68 : x
  2. Step 2: Convert to fraction form
    60,474/83,454.12 = 35,323.68/x
  3. Step 3: Cross multiply
    60,474x = 83,454.12 × 35,323.68
  4. Step 4: Simplify right side
    60,474x = 2,947,906,629.56
  5. Step 5: Solve for x
    x = 2,947,906,629.56/60,474
  6. Step 6: Final answer
    x = 48,746.68

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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.