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Finding the Fourth Proportional to 32,602, 48,903 and 11,825.52

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Solution

The fourth proportional to 32,602, 48,903 and 11,825.52 is: 17,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602 : 48,903 = 11,825.52 : x
  2. Step 2: Convert to fraction form
    32,602/48,903 = 11,825.52/x
  3. Step 3: Cross multiply
    32,602x = 48,903 × 11,825.52
  4. Step 4: Simplify right side
    32,602x = 578,303,404.56
  5. Step 5: Solve for x
    x = 578,303,404.56/32,602
  6. Step 6: Final answer
    x = 17,738.28

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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.