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Finding the Fourth Proportional to 34,493, 47,600.34 and 19,589

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Solution

The fourth proportional to 34,493, 47,600.34 and 19,589 is: 27,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,493 : 47,600.34 = 19,589 : x
  2. Step 2: Convert to fraction form
    34,493/47,600.34 = 19,589/x
  3. Step 3: Cross multiply
    34,493x = 47,600.34 × 19,589
  4. Step 4: Simplify right side
    34,493x = 932,443,060.26
  5. Step 5: Solve for x
    x = 932,443,060.26/34,493
  6. Step 6: Final answer
    x = 27,032.82

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1.5x scale

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.