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Finding the Fourth Proportional to 37,893.86, 52,254.80 and 25,142.58

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Solution

The fourth proportional to 37,893.86, 52,254.80 and 25,142.58 is: 34,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,893.86 : 52,254.80 = 25,142.58 : x
  2. Step 2: Convert to fraction form
    37,893.86/52,254.80 = 25,142.58/x
  3. Step 3: Cross multiply
    37,893.86x = 52,254.80 × 25,142.58
  4. Step 4: Simplify right side
    37,893.86x = 1,313,820,489.38
  5. Step 5: Solve for x
    x = 1,313,820,489.38/37,893.86
  6. Step 6: Final answer
    x = 34,671.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.