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Finding the Fourth Proportional to 47,382.76, 65,367.66 and 27,235

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Solution

The fourth proportional to 47,382.76, 65,367.66 and 27,235 is: 37,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382.76 : 65,367.66 = 27,235 : x
  2. Step 2: Convert to fraction form
    47,382.76/65,367.66 = 27,235/x
  3. Step 3: Cross multiply
    47,382.76x = 65,367.66 × 27,235
  4. Step 4: Simplify right side
    47,382.76x = 1,780,288,220.10
  5. Step 5: Solve for x
    x = 1,780,288,220.10/47,382.76
  6. Step 6: Final answer
    x = 37,572.49

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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.