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Finding the Fourth Proportional to 34,356.54, 47,398.31 and 20,014.22

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Solution

The fourth proportional to 34,356.54, 47,398.31 and 20,014.22 is: 27,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,356.54 : 47,398.31 = 20,014.22 : x
  2. Step 2: Convert to fraction form
    34,356.54/47,398.31 = 20,014.22/x
  3. Step 3: Cross multiply
    34,356.54x = 47,398.31 × 20,014.22
  4. Step 4: Simplify right side
    34,356.54x = 948,639,866.91
  5. Step 5: Solve for x
    x = 948,639,866.91/34,356.54
  6. Step 6: Final answer
    x = 27,611.62

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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.