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Finding the Fourth Proportional to 37,999, 56,998.52 and 10,297

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Solution

The fourth proportional to 37,999, 56,998.52 and 10,297 is: 15,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999 : 56,998.52 = 10,297 : x
  2. Step 2: Convert to fraction form
    37,999/56,998.52 = 10,297/x
  3. Step 3: Cross multiply
    37,999x = 56,998.52 × 10,297
  4. Step 4: Simplify right side
    37,999x = 586,913,760.44
  5. Step 5: Solve for x
    x = 586,913,760.44/37,999
  6. Step 6: Final answer
    x = 15,445.51

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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.