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Finding the Fourth Proportional to 32,272.64, 48,401.66 and 12,274.98

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Solution

The fourth proportional to 32,272.64, 48,401.66 and 12,274.98 is: 18,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,272.64 : 48,401.66 = 12,274.98 : x
  2. Step 2: Convert to fraction form
    32,272.64/48,401.66 = 12,274.98/x
  3. Step 3: Cross multiply
    32,272.64x = 48,401.66 × 12,274.98
  4. Step 4: Simplify right side
    32,272.64x = 594,129,408.47
  5. Step 5: Solve for x
    x = 594,129,408.47/32,272.64
  6. Step 6: Final answer
    x = 18,409.69

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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.