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Finding the Fourth Proportional to 47,266, 70,910.52 and 14,434

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Solution

The fourth proportional to 47,266, 70,910.52 and 14,434 is: 21,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266 : 70,910.52 = 14,434 : x
  2. Step 2: Convert to fraction form
    47,266/70,910.52 = 14,434/x
  3. Step 3: Cross multiply
    47,266x = 70,910.52 × 14,434
  4. Step 4: Simplify right side
    47,266x = 1,023,522,445.68
  5. Step 5: Solve for x
    x = 1,023,522,445.68/47,266
  6. Step 6: Final answer
    x = 21,654.52

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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.