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Finding the Fourth Proportional to 29,877.40, 44,805.62 and 8,811.84

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Solution

The fourth proportional to 29,877.40, 44,805.62 and 8,811.84 is: 13,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877.40 : 44,805.62 = 8,811.84 : x
  2. Step 2: Convert to fraction form
    29,877.40/44,805.62 = 8,811.84/x
  3. Step 3: Cross multiply
    29,877.40x = 44,805.62 × 8,811.84
  4. Step 4: Simplify right side
    29,877.40x = 394,819,976.57
  5. Step 5: Solve for x
    x = 394,819,976.57/29,877.40
  6. Step 6: Final answer
    x = 13,214.67

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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.