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Finding the Fourth Proportional to 29,740, 44,616.48 and 11,272

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Solution

The fourth proportional to 29,740, 44,616.48 and 11,272 is: 16,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,740 : 44,616.48 = 11,272 : x
  2. Step 2: Convert to fraction form
    29,740/44,616.48 = 11,272/x
  3. Step 3: Cross multiply
    29,740x = 44,616.48 × 11,272
  4. Step 4: Simplify right side
    29,740x = 502,916,962.56
  5. Step 5: Solve for x
    x = 502,916,962.56/29,740
  6. Step 6: Final answer
    x = 16,910.46

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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.