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Finding the Fourth Proportional to 49,432, 68,216.40 and 27,076

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Solution

The fourth proportional to 49,432, 68,216.40 and 27,076 is: 37,365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,432 : 68,216.40 = 27,076 : x
  2. Step 2: Convert to fraction form
    49,432/68,216.40 = 27,076/x
  3. Step 3: Cross multiply
    49,432x = 68,216.40 × 27,076
  4. Step 4: Simplify right side
    49,432x = 1,847,027,246.40
  5. Step 5: Solve for x
    x = 1,847,027,246.40/49,432
  6. Step 6: Final answer
    x = 37,365.01

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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.