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Finding the Fourth Proportional to 29,975, 44,964.66 and 11,507

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Solution

The fourth proportional to 29,975, 44,964.66 and 11,507 is: 17,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,975 : 44,964.66 = 11,507 : x
  2. Step 2: Convert to fraction form
    29,975/44,964.66 = 11,507/x
  3. Step 3: Cross multiply
    29,975x = 44,964.66 × 11,507
  4. Step 4: Simplify right side
    29,975x = 517,408,342.62
  5. Step 5: Solve for x
    x = 517,408,342.62/29,975
  6. Step 6: Final answer
    x = 17,261.33

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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.