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Finding the Fourth Proportional to 47,418.16, 65,438.92 and 27,275

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Solution

The fourth proportional to 47,418.16, 65,438.92 and 27,275 is: 37,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,418.16 : 65,438.92 = 27,275 : x
  2. Step 2: Convert to fraction form
    47,418.16/65,438.92 = 27,275/x
  3. Step 3: Cross multiply
    47,418.16x = 65,438.92 × 27,275
  4. Step 4: Simplify right side
    47,418.16x = 1,784,846,543
  5. Step 5: Solve for x
    x = 1,784,846,543/47,418.16
  6. Step 6: Final answer
    x = 37,640.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.