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Finding the Fourth Proportional to 47,653.98, 65,765.46 and 27,514.56

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Solution

The fourth proportional to 47,653.98, 65,765.46 and 27,514.56 is: 37,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,653.98 : 65,765.46 = 27,514.56 : x
  2. Step 2: Convert to fraction form
    47,653.98/65,765.46 = 27,514.56/x
  3. Step 3: Cross multiply
    47,653.98x = 65,765.46 × 27,514.56
  4. Step 4: Simplify right side
    47,653.98x = 1,809,507,695.10
  5. Step 5: Solve for x
    x = 1,809,507,695.10/47,653.98
  6. Step 6: Final answer
    x = 37,971.81

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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.