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Finding the Fourth Proportional to 47,049.66, 64,911.78 and 27,914.83

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Solution

The fourth proportional to 47,049.66, 64,911.78 and 27,914.83 is: 38,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,049.66 : 64,911.78 = 27,914.83 : x
  2. Step 2: Convert to fraction form
    47,049.66/64,911.78 = 27,914.83/x
  3. Step 3: Cross multiply
    47,049.66x = 64,911.78 × 27,914.83
  4. Step 4: Simplify right side
    47,049.66x = 1,812,001,141.42
  5. Step 5: Solve for x
    x = 1,812,001,141.42/47,049.66
  6. Step 6: Final answer
    x = 38,512.52

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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.