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Finding the Fourth Proportional to 29,986, 44,981.16 and 11,518

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Solution

The fourth proportional to 29,986, 44,981.16 and 11,518 is: 17,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,986 : 44,981.16 = 11,518 : x
  2. Step 2: Convert to fraction form
    29,986/44,981.16 = 11,518/x
  3. Step 3: Cross multiply
    29,986x = 44,981.16 × 11,518
  4. Step 4: Simplify right side
    29,986x = 518,093,000.88
  5. Step 5: Solve for x
    x = 518,093,000.88/29,986
  6. Step 6: Final answer
    x = 17,277.83

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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.