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Finding the Fourth Proportional to 32,596.76, 48,858.24 and 22,472.34

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Solution

The fourth proportional to 32,596.76, 48,858.24 and 22,472.34 is: 33,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.76 : 48,858.24 = 22,472.34 : x
  2. Step 2: Convert to fraction form
    32,596.76/48,858.24 = 22,472.34/x
  3. Step 3: Cross multiply
    32,596.76x = 48,858.24 × 22,472.34
  4. Step 4: Simplify right side
    32,596.76x = 1,097,958,981.08
  5. Step 5: Solve for x
    x = 1,097,958,981.08/32,596.76
  6. Step 6: Final answer
    x = 33,683.07

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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.