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Finding the Fourth Proportional to 32,232.52, 48,362.64 and 17,452

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Solution

The fourth proportional to 32,232.52, 48,362.64 and 17,452 is: 26,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,232.52 : 48,362.64 = 17,452 : x
  2. Step 2: Convert to fraction form
    32,232.52/48,362.64 = 17,452/x
  3. Step 3: Cross multiply
    32,232.52x = 48,362.64 × 17,452
  4. Step 4: Simplify right side
    32,232.52x = 844,024,793.28
  5. Step 5: Solve for x
    x = 844,024,793.28/32,232.52
  6. Step 6: Final answer
    x = 26,185.50

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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.