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Finding the Fourth Proportional to 32,172.66, 48,205.65 and 22,766.07

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Solution

The fourth proportional to 32,172.66, 48,205.65 and 22,766.07 is: 34,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.66 : 48,205.65 = 22,766.07 : x
  2. Step 2: Convert to fraction form
    32,172.66/48,205.65 = 22,766.07/x
  3. Step 3: Cross multiply
    32,172.66x = 48,205.65 × 22,766.07
  4. Step 4: Simplify right side
    32,172.66x = 1,097,453,202.30
  5. Step 5: Solve for x
    x = 1,097,453,202.30/32,172.66
  6. Step 6: Final answer
    x = 34,111.36

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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.