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Finding the Fourth Proportional to 47,805.93, 65,977.47 and 27,662.58

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Solution

The fourth proportional to 47,805.93, 65,977.47 and 27,662.58 is: 38,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,805.93 : 65,977.47 = 27,662.58 : x
  2. Step 2: Convert to fraction form
    47,805.93/65,977.47 = 27,662.58/x
  3. Step 3: Cross multiply
    47,805.93x = 65,977.47 × 27,662.58
  4. Step 4: Simplify right side
    47,805.93x = 1,825,107,042.07
  5. Step 5: Solve for x
    x = 1,825,107,042.07/47,805.93
  6. Step 6: Final answer
    x = 38,177.42

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1.5x scale

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.