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Finding the Fourth Proportional to 47,697.25, 65,825.28 and 27,554.98

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Solution

The fourth proportional to 47,697.25, 65,825.28 and 27,554.98 is: 38,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.25 : 65,825.28 = 27,554.98 : x
  2. Step 2: Convert to fraction form
    47,697.25/65,825.28 = 27,554.98/x
  3. Step 3: Cross multiply
    47,697.25x = 65,825.28 × 27,554.98
  4. Step 4: Simplify right side
    47,697.25x = 1,813,814,273.89
  5. Step 5: Solve for x
    x = 1,813,814,273.89/47,697.25
  6. Step 6: Final answer
    x = 38,027.65

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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.