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Finding the Fourth Proportional to 46,375.68, 69,549.12 and 15,204

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Solution

The fourth proportional to 46,375.68, 69,549.12 and 15,204 is: 22,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,375.68 : 69,549.12 = 15,204 : x
  2. Step 2: Convert to fraction form
    46,375.68/69,549.12 = 15,204/x
  3. Step 3: Cross multiply
    46,375.68x = 69,549.12 × 15,204
  4. Step 4: Simplify right side
    46,375.68x = 1,057,424,820.48
  5. Step 5: Solve for x
    x = 1,057,424,820.48/46,375.68
  6. Step 6: Final answer
    x = 22,801.28

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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.