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Finding the Fourth Proportional to 47,900.76, 66,103.02 and 27,769.32

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Solution

The fourth proportional to 47,900.76, 66,103.02 and 27,769.32 is: 38,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,900.76 : 66,103.02 = 27,769.32 : x
  2. Step 2: Convert to fraction form
    47,900.76/66,103.02 = 27,769.32/x
  3. Step 3: Cross multiply
    47,900.76x = 66,103.02 × 27,769.32
  4. Step 4: Simplify right side
    47,900.76x = 1,835,635,915.35
  5. Step 5: Solve for x
    x = 1,835,635,915.35/47,900.76
  6. Step 6: Final answer
    x = 38,321.64

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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.