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Finding the Fourth Proportional to 37,998.50, 56,998.56 and 13,038.44

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Solution

The fourth proportional to 37,998.50, 56,998.56 and 13,038.44 is: 19,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,998.50 : 56,998.56 = 13,038.44 : x
  2. Step 2: Convert to fraction form
    37,998.50/56,998.56 = 13,038.44/x
  3. Step 3: Cross multiply
    37,998.50x = 56,998.56 × 13,038.44
  4. Step 4: Simplify right side
    37,998.50x = 743,172,304.65
  5. Step 5: Solve for x
    x = 743,172,304.65/37,998.50
  6. Step 6: Final answer
    x = 19,557.94

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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.