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Finding the Fourth Proportional to 30,856.62, 46,277.70 and 8,672.10

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Solution

The fourth proportional to 30,856.62, 46,277.70 and 8,672.10 is: 13,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.62 : 46,277.70 = 8,672.10 : x
  2. Step 2: Convert to fraction form
    30,856.62/46,277.70 = 8,672.10/x
  3. Step 3: Cross multiply
    30,856.62x = 46,277.70 × 8,672.10
  4. Step 4: Simplify right side
    30,856.62x = 401,324,842.17
  5. Step 5: Solve for x
    x = 401,324,842.17/30,856.62
  6. Step 6: Final answer
    x = 13,006.12

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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.