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Finding the Fourth Proportional to 30,826.54, 46,239.93 and 7,452.94

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Solution

The fourth proportional to 30,826.54, 46,239.93 and 7,452.94 is: 11,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826.54 : 46,239.93 = 7,452.94 : x
  2. Step 2: Convert to fraction form
    30,826.54/46,239.93 = 7,452.94/x
  3. Step 3: Cross multiply
    30,826.54x = 46,239.93 × 7,452.94
  4. Step 4: Simplify right side
    30,826.54x = 344,623,423.89
  5. Step 5: Solve for x
    x = 344,623,423.89/30,826.54
  6. Step 6: Final answer
    x = 11,179.44

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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.