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Finding the Fourth Proportional to 32,707.17, 49,068 and 11,930.67

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Solution

The fourth proportional to 32,707.17, 49,068 and 11,930.67 is: 17,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707.17 : 49,068 = 11,930.67 : x
  2. Step 2: Convert to fraction form
    32,707.17/49,068 = 11,930.67/x
  3. Step 3: Cross multiply
    32,707.17x = 49,068 × 11,930.67
  4. Step 4: Simplify right side
    32,707.17x = 585,414,115.56
  5. Step 5: Solve for x
    x = 585,414,115.56/32,707.17
  6. Step 6: Final answer
    x = 17,898.65

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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.