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Finding the Fourth Proportional to 29,600, 44,419.44 and 11,132

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Solution

The fourth proportional to 29,600, 44,419.44 and 11,132 is: 16,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,600 : 44,419.44 = 11,132 : x
  2. Step 2: Convert to fraction form
    29,600/44,419.44 = 11,132/x
  3. Step 3: Cross multiply
    29,600x = 44,419.44 × 11,132
  4. Step 4: Simplify right side
    29,600x = 494,477,206.08
  5. Step 5: Solve for x
    x = 494,477,206.08/29,600
  6. Step 6: Final answer
    x = 16,705.31

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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.