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Finding the Fourth Proportional to 29,971, 44,958.68 and 11,503

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Solution

The fourth proportional to 29,971, 44,958.68 and 11,503 is: 17,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971 : 44,958.68 = 11,503 : x
  2. Step 2: Convert to fraction form
    29,971/44,958.68 = 11,503/x
  3. Step 3: Cross multiply
    29,971x = 44,958.68 × 11,503
  4. Step 4: Simplify right side
    29,971x = 517,159,696.04
  5. Step 5: Solve for x
    x = 517,159,696.04/29,971
  6. Step 6: Final answer
    x = 17,255.34

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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.