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Finding the Fourth Proportional to 32,522.37, 48,777.89 and 9,143.25

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Solution

The fourth proportional to 32,522.37, 48,777.89 and 9,143.25 is: 13,713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.37 : 48,777.89 = 9,143.25 : x
  2. Step 2: Convert to fraction form
    32,522.37/48,777.89 = 9,143.25/x
  3. Step 3: Cross multiply
    32,522.37x = 48,777.89 × 9,143.25
  4. Step 4: Simplify right side
    32,522.37x = 445,988,397.03
  5. Step 5: Solve for x
    x = 445,988,397.03/32,522.37
  6. Step 6: Final answer
    x = 13,713.28

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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.