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Finding the Fourth Proportional to 47,844, 71,783.28 and 15,012

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Solution

The fourth proportional to 47,844, 71,783.28 and 15,012 is: 22,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,844 : 71,783.28 = 15,012 : x
  2. Step 2: Convert to fraction form
    47,844/71,783.28 = 15,012/x
  3. Step 3: Cross multiply
    47,844x = 71,783.28 × 15,012
  4. Step 4: Simplify right side
    47,844x = 1,077,610,599.36
  5. Step 5: Solve for x
    x = 1,077,610,599.36/47,844
  6. Step 6: Final answer
    x = 22,523.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.