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Finding the Fourth Proportional to 46,383.68, 69,561.12 and 15,212

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Solution

The fourth proportional to 46,383.68, 69,561.12 and 15,212 is: 22,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,383.68 : 69,561.12 = 15,212 : x
  2. Step 2: Convert to fraction form
    46,383.68/69,561.12 = 15,212/x
  3. Step 3: Cross multiply
    46,383.68x = 69,561.12 × 15,212
  4. Step 4: Simplify right side
    46,383.68x = 1,058,163,757.44
  5. Step 5: Solve for x
    x = 1,058,163,757.44/46,383.68
  6. Step 6: Final answer
    x = 22,813.28

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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.