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Finding the Fourth Proportional to 48,959.63, 67,564.35 and 27,740.33

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Solution

The fourth proportional to 48,959.63, 67,564.35 and 27,740.33 is: 38,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,959.63 : 67,564.35 = 27,740.33 : x
  2. Step 2: Convert to fraction form
    48,959.63/67,564.35 = 27,740.33/x
  3. Step 3: Cross multiply
    48,959.63x = 67,564.35 × 27,740.33
  4. Step 4: Simplify right side
    48,959.63x = 1,874,257,027.41
  5. Step 5: Solve for x
    x = 1,874,257,027.41/48,959.63
  6. Step 6: Final answer
    x = 38,281.69

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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.