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Finding the Fourth Proportional to 32,233.47, 48,316.95 and 13,524.37

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Solution

The fourth proportional to 32,233.47, 48,316.95 and 13,524.37 is: 20,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233.47 : 48,316.95 = 13,524.37 : x
  2. Step 2: Convert to fraction form
    32,233.47/48,316.95 = 13,524.37/x
  3. Step 3: Cross multiply
    32,233.47x = 48,316.95 × 13,524.37
  4. Step 4: Simplify right side
    32,233.47x = 653,456,241.45
  5. Step 5: Solve for x
    x = 653,456,241.45/32,233.47
  6. Step 6: Final answer
    x = 20,272.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.