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Finding the Fourth Proportional to 29,207.31, 43,810.98 and 8,146.50

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Solution

The fourth proportional to 29,207.31, 43,810.98 and 8,146.50 is: 12,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,207.31 : 43,810.98 = 8,146.50 : x
  2. Step 2: Convert to fraction form
    29,207.31/43,810.98 = 8,146.50/x
  3. Step 3: Cross multiply
    29,207.31x = 43,810.98 × 8,146.50
  4. Step 4: Simplify right side
    29,207.31x = 356,906,148.57
  5. Step 5: Solve for x
    x = 356,906,148.57/29,207.31
  6. Step 6: Final answer
    x = 12,219.75

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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.