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Finding the Fourth Proportional to 29,706.27, 40,993.95 and 16,784.34

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Solution

The fourth proportional to 29,706.27, 40,993.95 and 16,784.34 is: 23,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.27 : 40,993.95 = 16,784.34 : x
  2. Step 2: Convert to fraction form
    29,706.27/40,993.95 = 16,784.34/x
  3. Step 3: Cross multiply
    29,706.27x = 40,993.95 × 16,784.34
  4. Step 4: Simplify right side
    29,706.27x = 688,056,394.74
  5. Step 5: Solve for x
    x = 688,056,394.74/29,706.27
  6. Step 6: Final answer
    x = 23,161.99

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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.