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Finding the Fourth Proportional to 47,814.49, 65,978.24 and 27,677.69

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Solution

The fourth proportional to 47,814.49, 65,978.24 and 27,677.69 is: 38,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,814.49 : 65,978.24 = 27,677.69 : x
  2. Step 2: Convert to fraction form
    47,814.49/65,978.24 = 27,677.69/x
  3. Step 3: Cross multiply
    47,814.49x = 65,978.24 × 27,677.69
  4. Step 4: Simplify right side
    47,814.49x = 1,826,125,273.47
  5. Step 5: Solve for x
    x = 1,826,125,273.47/47,814.49
  6. Step 6: Final answer
    x = 38,191.88

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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.