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Finding the Fourth Proportional to 29,162, 43,750.36 and 8,385.52

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Solution

The fourth proportional to 29,162, 43,750.36 and 8,385.52 is: 12,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,162 : 43,750.36 = 8,385.52 : x
  2. Step 2: Convert to fraction form
    29,162/43,750.36 = 8,385.52/x
  3. Step 3: Cross multiply
    29,162x = 43,750.36 × 8,385.52
  4. Step 4: Simplify right side
    29,162x = 366,869,518.79
  5. Step 5: Solve for x
    x = 366,869,518.79/29,162
  6. Step 6: Final answer
    x = 12,580.40

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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.