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Finding the Fourth Proportional to 32,325.12, 48,489.74 and 11,264.31

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Solution

The fourth proportional to 32,325.12, 48,489.74 and 11,264.31 is: 16,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,325.12 : 48,489.74 = 11,264.31 : x
  2. Step 2: Convert to fraction form
    32,325.12/48,489.74 = 11,264.31/x
  3. Step 3: Cross multiply
    32,325.12x = 48,489.74 × 11,264.31
  4. Step 4: Simplify right side
    32,325.12x = 546,203,406.86
  5. Step 5: Solve for x
    x = 546,203,406.86/32,325.12
  6. Step 6: Final answer
    x = 16,897.18

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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.