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Finding the Fourth Proportional to 47,798.40, 65,951.90 and 27,647.94

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Solution

The fourth proportional to 47,798.40, 65,951.90 and 27,647.94 is: 38,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798.40 : 65,951.90 = 27,647.94 : x
  2. Step 2: Convert to fraction form
    47,798.40/65,951.90 = 27,647.94/x
  3. Step 3: Cross multiply
    47,798.40x = 65,951.90 × 27,647.94
  4. Step 4: Simplify right side
    47,798.40x = 1,823,434,174.09
  5. Step 5: Solve for x
    x = 1,823,434,174.09/47,798.40
  6. Step 6: Final answer
    x = 38,148.44

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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.