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Finding the Fourth Proportional to 34,831, 52,246.50 and 10,207

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Solution

The fourth proportional to 34,831, 52,246.50 and 10,207 is: 15,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,831 : 52,246.50 = 10,207 : x
  2. Step 2: Convert to fraction form
    34,831/52,246.50 = 10,207/x
  3. Step 3: Cross multiply
    34,831x = 52,246.50 × 10,207
  4. Step 4: Simplify right side
    34,831x = 533,280,025.50
  5. Step 5: Solve for x
    x = 533,280,025.50/34,831
  6. Step 6: Final answer
    x = 15,310.50

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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.