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Finding the Fourth Proportional to 46,996.50, 70,491.41 and 22,042.23

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Solution

The fourth proportional to 46,996.50, 70,491.41 and 22,042.23 is: 33,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,996.50 : 70,491.41 = 22,042.23 : x
  2. Step 2: Convert to fraction form
    46,996.50/70,491.41 = 22,042.23/x
  3. Step 3: Cross multiply
    46,996.50x = 70,491.41 × 22,042.23
  4. Step 4: Simplify right side
    46,996.50x = 1,553,787,704.34
  5. Step 5: Solve for x
    x = 1,553,787,704.34/46,996.50
  6. Step 6: Final answer
    x = 33,061.77

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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.