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Finding the Fourth Proportional to 30,397.34, 45,601.92 and 11,676

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Solution

The fourth proportional to 30,397.34, 45,601.92 and 11,676 is: 17,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.34 : 45,601.92 = 11,676 : x
  2. Step 2: Convert to fraction form
    30,397.34/45,601.92 = 11,676/x
  3. Step 3: Cross multiply
    30,397.34x = 45,601.92 × 11,676
  4. Step 4: Simplify right side
    30,397.34x = 532,448,017.92
  5. Step 5: Solve for x
    x = 532,448,017.92/30,397.34
  6. Step 6: Final answer
    x = 17,516.27

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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.