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Finding the Fourth Proportional to 29,408, 44,117.76 and 12,992

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Solution

The fourth proportional to 29,408, 44,117.76 and 12,992 is: 19,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408 : 44,117.76 = 12,992 : x
  2. Step 2: Convert to fraction form
    29,408/44,117.76 = 12,992/x
  3. Step 3: Cross multiply
    29,408x = 44,117.76 × 12,992
  4. Step 4: Simplify right side
    29,408x = 573,177,937.92
  5. Step 5: Solve for x
    x = 573,177,937.92/29,408
  6. Step 6: Final answer
    x = 19,490.54

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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.