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Finding the Fourth Proportional to 47,690.41, 65,797.54 and 27,544.63

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Solution

The fourth proportional to 47,690.41, 65,797.54 and 27,544.63 is: 38,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,690.41 : 65,797.54 = 27,544.63 : x
  2. Step 2: Convert to fraction form
    47,690.41/65,797.54 = 27,544.63/x
  3. Step 3: Cross multiply
    47,690.41x = 65,797.54 × 27,544.63
  4. Step 4: Simplify right side
    47,690.41x = 1,812,368,427.50
  5. Step 5: Solve for x
    x = 1,812,368,427.50/47,690.41
  6. Step 6: Final answer
    x = 38,002.79

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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.