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Finding the Fourth Proportional to 32,712.72, 45,172.44 and 24,314.64

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Solution

The fourth proportional to 32,712.72, 45,172.44 and 24,314.64 is: 33,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712.72 : 45,172.44 = 24,314.64 : x
  2. Step 2: Convert to fraction form
    32,712.72/45,172.44 = 24,314.64/x
  3. Step 3: Cross multiply
    32,712.72x = 45,172.44 × 24,314.64
  4. Step 4: Simplify right side
    32,712.72x = 1,098,351,616.52
  5. Step 5: Solve for x
    x = 1,098,351,616.52/32,712.72
  6. Step 6: Final answer
    x = 33,575.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.