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Finding the Fourth Proportional to 47,380, 71,070 and 14,548

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Solution

The fourth proportional to 47,380, 71,070 and 14,548 is: 21,822

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,380 : 71,070 = 14,548 : x
  2. Step 2: Convert to fraction form
    47,380/71,070 = 14,548/x
  3. Step 3: Cross multiply
    47,380x = 71,070 × 14,548
  4. Step 4: Simplify right side
    47,380x = 1,033,926,360
  5. Step 5: Solve for x
    x = 1,033,926,360/47,380
  6. Step 6: Final answer
    x = 21,822

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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.