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Finding the Fourth Proportional to 98,311, 147,467.04 and 24,439

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Solution

The fourth proportional to 98,311, 147,467.04 and 24,439 is: 36,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,311 : 147,467.04 = 24,439 : x
  2. Step 2: Convert to fraction form
    98,311/147,467.04 = 24,439/x
  3. Step 3: Cross multiply
    98,311x = 147,467.04 × 24,439
  4. Step 4: Simplify right side
    98,311x = 3,603,946,990.56
  5. Step 5: Solve for x
    x = 3,603,946,990.56/98,311
  6. Step 6: Final answer
    x = 36,658.63

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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.