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Finding the Fourth Proportional to 30,662.65, 45,961.17 and 15,856.66

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Solution

The fourth proportional to 30,662.65, 45,961.17 and 15,856.66 is: 23,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.65 : 45,961.17 = 15,856.66 : x
  2. Step 2: Convert to fraction form
    30,662.65/45,961.17 = 15,856.66/x
  3. Step 3: Cross multiply
    30,662.65x = 45,961.17 × 15,856.66
  4. Step 4: Simplify right side
    30,662.65x = 728,790,733.07
  5. Step 5: Solve for x
    x = 728,790,733.07/30,662.65
  6. Step 6: Final answer
    x = 23,768.03

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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.