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Finding the Fourth Proportional to 29,838.84, 44,751.30 and 13,189.83

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Solution

The fourth proportional to 29,838.84, 44,751.30 and 13,189.83 is: 19,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.84 : 44,751.30 = 13,189.83 : x
  2. Step 2: Convert to fraction form
    29,838.84/44,751.30 = 13,189.83/x
  3. Step 3: Cross multiply
    29,838.84x = 44,751.30 × 13,189.83
  4. Step 4: Simplify right side
    29,838.84x = 590,262,039.28
  5. Step 5: Solve for x
    x = 590,262,039.28/29,838.84
  6. Step 6: Final answer
    x = 19,781.67

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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.