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Finding the Fourth Proportional to 47,099.50, 70,617.12 and 15,497.96

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Solution

The fourth proportional to 47,099.50, 70,617.12 and 15,497.96 is: 23,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,099.50 : 70,617.12 = 15,497.96 : x
  2. Step 2: Convert to fraction form
    47,099.50/70,617.12 = 15,497.96/x
  3. Step 3: Cross multiply
    47,099.50x = 70,617.12 × 15,497.96
  4. Step 4: Simplify right side
    47,099.50x = 1,094,421,301.08
  5. Step 5: Solve for x
    x = 1,094,421,301.08/47,099.50
  6. Step 6: Final answer
    x = 23,236.37

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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.