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Finding the Fourth Proportional to 45,688.86, 68,538.15 and 12,409.40

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Solution

The fourth proportional to 45,688.86, 68,538.15 and 12,409.40 is: 18,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,688.86 : 68,538.15 = 12,409.40 : x
  2. Step 2: Convert to fraction form
    45,688.86/68,538.15 = 12,409.40/x
  3. Step 3: Cross multiply
    45,688.86x = 68,538.15 × 12,409.40
  4. Step 4: Simplify right side
    45,688.86x = 850,517,489.96
  5. Step 5: Solve for x
    x = 850,517,489.96/45,688.86
  6. Step 6: Final answer
    x = 18,615.42

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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.