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Finding the Fourth Proportional to 30,737.52, 46,137.87 and 15,942.47

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Solution

The fourth proportional to 30,737.52, 46,137.87 and 15,942.47 is: 23,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737.52 : 46,137.87 = 15,942.47 : x
  2. Step 2: Convert to fraction form
    30,737.52/46,137.87 = 15,942.47/x
  3. Step 3: Cross multiply
    30,737.52x = 46,137.87 × 15,942.47
  4. Step 4: Simplify right side
    30,737.52x = 735,551,377.65
  5. Step 5: Solve for x
    x = 735,551,377.65/30,737.52
  6. Step 6: Final answer
    x = 23,930.08

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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.