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Finding the Fourth Proportional to 70,257.64, 96,911.20 and 49,029.16

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Solution

The fourth proportional to 70,257.64, 96,911.20 and 49,029.16 is: 67,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,257.64 : 96,911.20 = 49,029.16 : x
  2. Step 2: Convert to fraction form
    70,257.64/96,911.20 = 49,029.16/x
  3. Step 3: Cross multiply
    70,257.64x = 96,911.20 × 49,029.16
  4. Step 4: Simplify right side
    70,257.64x = 4,751,474,730.59
  5. Step 5: Solve for x
    x = 4,751,474,730.59/70,257.64
  6. Step 6: Final answer
    x = 67,629.30

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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.