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Finding the Fourth Proportional to 47,246, 70,872.24 and 15,656

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Solution

The fourth proportional to 47,246, 70,872.24 and 15,656 is: 23,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,246 : 70,872.24 = 15,656 : x
  2. Step 2: Convert to fraction form
    47,246/70,872.24 = 15,656/x
  3. Step 3: Cross multiply
    47,246x = 70,872.24 × 15,656
  4. Step 4: Simplify right side
    47,246x = 1,109,575,789.44
  5. Step 5: Solve for x
    x = 1,109,575,789.44/47,246
  6. Step 6: Final answer
    x = 23,485.07

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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.