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Finding the Fourth Proportional to 69,909.84, 104,824.20 and 47,749.98

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Solution

The fourth proportional to 69,909.84, 104,824.20 and 47,749.98 is: 71,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,909.84 : 104,824.20 = 47,749.98 : x
  2. Step 2: Convert to fraction form
    69,909.84/104,824.20 = 47,749.98/x
  3. Step 3: Cross multiply
    69,909.84x = 104,824.20 × 47,749.98
  4. Step 4: Simplify right side
    69,909.84x = 5,005,353,453.52
  5. Step 5: Solve for x
    x = 5,005,353,453.52/69,909.84
  6. Step 6: Final answer
    x = 71,597.27

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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.