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Finding the Fourth Proportional to 32,378.20, 48,568.50 and 11,314.12

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Solution

The fourth proportional to 32,378.20, 48,568.50 and 11,314.12 is: 16,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.20 : 48,568.50 = 11,314.12 : x
  2. Step 2: Convert to fraction form
    32,378.20/48,568.50 = 11,314.12/x
  3. Step 3: Cross multiply
    32,378.20x = 48,568.50 × 11,314.12
  4. Step 4: Simplify right side
    32,378.20x = 549,509,837.22
  5. Step 5: Solve for x
    x = 549,509,837.22/32,378.20
  6. Step 6: Final answer
    x = 16,971.60

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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.