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Finding the Fourth Proportional to 34,732, 52,099.44 and 10,108

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Solution

The fourth proportional to 34,732, 52,099.44 and 10,108 is: 15,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,732 : 52,099.44 = 10,108 : x
  2. Step 2: Convert to fraction form
    34,732/52,099.44 = 10,108/x
  3. Step 3: Cross multiply
    34,732x = 52,099.44 × 10,108
  4. Step 4: Simplify right side
    34,732x = 526,621,139.52
  5. Step 5: Solve for x
    x = 526,621,139.52/34,732
  6. Step 6: Final answer
    x = 15,162.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.