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Finding the Fourth Proportional to 29,738, 44,624.28 and 13,322

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Solution

The fourth proportional to 29,738, 44,624.28 and 13,322 is: 19,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738 : 44,624.28 = 13,322 : x
  2. Step 2: Convert to fraction form
    29,738/44,624.28 = 13,322/x
  3. Step 3: Cross multiply
    29,738x = 44,624.28 × 13,322
  4. Step 4: Simplify right side
    29,738x = 594,484,658.16
  5. Step 5: Solve for x
    x = 594,484,658.16/29,738
  6. Step 6: Final answer
    x = 19,990.74

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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.