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Finding the Fourth Proportional to 47,790.64, 65,932.14 and 27,643.78

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Solution

The fourth proportional to 47,790.64, 65,932.14 and 27,643.78 is: 38,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,790.64 : 65,932.14 = 27,643.78 : x
  2. Step 2: Convert to fraction form
    47,790.64/65,932.14 = 27,643.78/x
  3. Step 3: Cross multiply
    47,790.64x = 65,932.14 × 27,643.78
  4. Step 4: Simplify right side
    47,790.64x = 1,822,613,573.09
  5. Step 5: Solve for x
    x = 1,822,613,573.09/47,790.64
  6. Step 6: Final answer
    x = 38,137.46

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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.