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Finding the Fourth Proportional to 69,809.34, 104,674.32 and 47,649.54

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Solution

The fourth proportional to 69,809.34, 104,674.32 and 47,649.54 is: 71,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,809.34 : 104,674.32 = 47,649.54 : x
  2. Step 2: Convert to fraction form
    69,809.34/104,674.32 = 47,649.54/x
  3. Step 3: Cross multiply
    69,809.34x = 104,674.32 × 47,649.54
  4. Step 4: Simplify right side
    69,809.34x = 4,987,683,197.81
  5. Step 5: Solve for x
    x = 4,987,683,197.81/69,809.34
  6. Step 6: Final answer
    x = 71,447.22

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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.