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Finding the Fourth Proportional to 46,506.69, 69,721.11 and 21,564.54

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Solution

The fourth proportional to 46,506.69, 69,721.11 and 21,564.54 is: 32,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506.69 : 69,721.11 = 21,564.54 : x
  2. Step 2: Convert to fraction form
    46,506.69/69,721.11 = 21,564.54/x
  3. Step 3: Cross multiply
    46,506.69x = 69,721.11 × 21,564.54
  4. Step 4: Simplify right side
    46,506.69x = 1,503,503,665.44
  5. Step 5: Solve for x
    x = 1,503,503,665.44/46,506.69
  6. Step 6: Final answer
    x = 32,328.76

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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.