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Finding the Fourth Proportional to 47,099.25, 64,968.12 and 27,966.03

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Solution

The fourth proportional to 47,099.25, 64,968.12 and 27,966.03 is: 38,575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099.25 : 64,968.12 = 27,966.03 : x
  2. Step 2: Convert to fraction form
    47,099.25/64,968.12 = 27,966.03/x
  3. Step 3: Cross multiply
    47,099.25x = 64,968.12 × 27,966.03
  4. Step 4: Simplify right side
    47,099.25x = 1,816,900,392.96
  5. Step 5: Solve for x
    x = 1,816,900,392.96/47,099.25
  6. Step 6: Final answer
    x = 38,575.99

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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.