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Finding the Fourth Proportional to 51,449.16, 70,959.78 and 34,448

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Solution

The fourth proportional to 51,449.16, 70,959.78 and 34,448 is: 47,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,449.16 : 70,959.78 = 34,448 : x
  2. Step 2: Convert to fraction form
    51,449.16/70,959.78 = 34,448/x
  3. Step 3: Cross multiply
    51,449.16x = 70,959.78 × 34,448
  4. Step 4: Simplify right side
    51,449.16x = 2,444,422,501.44
  5. Step 5: Solve for x
    x = 2,444,422,501.44/51,449.16
  6. Step 6: Final answer
    x = 47,511.42

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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.