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Finding the Fourth Proportional to 32,035.17, 48,019.31 and 10,969

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Solution

The fourth proportional to 32,035.17, 48,019.31 and 10,969 is: 16,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,035.17 : 48,019.31 = 10,969 : x
  2. Step 2: Convert to fraction form
    32,035.17/48,019.31 = 10,969/x
  3. Step 3: Cross multiply
    32,035.17x = 48,019.31 × 10,969
  4. Step 4: Simplify right side
    32,035.17x = 526,723,811.39
  5. Step 5: Solve for x
    x = 526,723,811.39/32,035.17
  6. Step 6: Final answer
    x = 16,442.05

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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.