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Finding the Fourth Proportional to 69,683.66, 104,509.74 and 32,223.22

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Solution

The fourth proportional to 69,683.66, 104,509.74 and 32,223.22 is: 48,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,683.66 : 104,509.74 = 32,223.22 : x
  2. Step 2: Convert to fraction form
    69,683.66/104,509.74 = 32,223.22/x
  3. Step 3: Cross multiply
    69,683.66x = 104,509.74 × 32,223.22
  4. Step 4: Simplify right side
    69,683.66x = 3,367,640,344.16
  5. Step 5: Solve for x
    x = 3,367,640,344.16/69,683.66
  6. Step 6: Final answer
    x = 48,327.55

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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.