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Finding the Fourth Proportional to 29,206.26, 43,810.80 and 8,146.26

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Solution

The fourth proportional to 29,206.26, 43,810.80 and 8,146.26 is: 12,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206.26 : 43,810.80 = 8,146.26 : x
  2. Step 2: Convert to fraction form
    29,206.26/43,810.80 = 8,146.26/x
  3. Step 3: Cross multiply
    29,206.26x = 43,810.80 × 8,146.26
  4. Step 4: Simplify right side
    29,206.26x = 356,894,167.61
  5. Step 5: Solve for x
    x = 356,894,167.61/29,206.26
  6. Step 6: Final answer
    x = 12,219.78

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1.5x scale

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.