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Finding the Fourth Proportional to 32,074.95, 48,113.07 and 11,014.86

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Solution

The fourth proportional to 32,074.95, 48,113.07 and 11,014.86 is: 16,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.95 : 48,113.07 = 11,014.86 : x
  2. Step 2: Convert to fraction form
    32,074.95/48,113.07 = 11,014.86/x
  3. Step 3: Cross multiply
    32,074.95x = 48,113.07 × 11,014.86
  4. Step 4: Simplify right side
    32,074.95x = 529,958,730.22
  5. Step 5: Solve for x
    x = 529,958,730.22/32,074.95
  6. Step 6: Final answer
    x = 16,522.51

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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.