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Finding the Fourth Proportional to 47,690.93, 65,805.84 and 27,544.10

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Solution

The fourth proportional to 47,690.93, 65,805.84 and 27,544.10 is: 38,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,690.93 : 65,805.84 = 27,544.10 : x
  2. Step 2: Convert to fraction form
    47,690.93/65,805.84 = 27,544.10/x
  3. Step 3: Cross multiply
    47,690.93x = 65,805.84 × 27,544.10
  4. Step 4: Simplify right side
    47,690.93x = 1,812,562,308.51
  5. Step 5: Solve for x
    x = 1,812,562,308.51/47,690.93
  6. Step 6: Final answer
    x = 38,006.43

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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.