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Finding the Fourth Proportional to 29,573.82, 40,809.42 and 16,823.61

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Solution

The fourth proportional to 29,573.82, 40,809.42 and 16,823.61 is: 23,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,573.82 : 40,809.42 = 16,823.61 : x
  2. Step 2: Convert to fraction form
    29,573.82/40,809.42 = 16,823.61/x
  3. Step 3: Cross multiply
    29,573.82x = 40,809.42 × 16,823.61
  4. Step 4: Simplify right side
    29,573.82x = 686,561,766.41
  5. Step 5: Solve for x
    x = 686,561,766.41/29,573.82
  6. Step 6: Final answer
    x = 23,215.19

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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.