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Finding the Fourth Proportional to 24,833.50, 37,249.95 and 10,042.30

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Solution

The fourth proportional to 24,833.50, 37,249.95 and 10,042.30 is: 15,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.50 : 37,249.95 = 10,042.30 : x
  2. Step 2: Convert to fraction form
    24,833.50/37,249.95 = 10,042.30/x
  3. Step 3: Cross multiply
    24,833.50x = 37,249.95 × 10,042.30
  4. Step 4: Simplify right side
    24,833.50x = 374,075,172.89
  5. Step 5: Solve for x
    x = 374,075,172.89/24,833.50
  6. Step 6: Final answer
    x = 15,063.33

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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.