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Finding the Fourth Proportional to 37,873, 56,816.80 and 17,096.52

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Solution

The fourth proportional to 37,873, 56,816.80 and 17,096.52 is: 25,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,873 : 56,816.80 = 17,096.52 : x
  2. Step 2: Convert to fraction form
    37,873/56,816.80 = 17,096.52/x
  3. Step 3: Cross multiply
    37,873x = 56,816.80 × 17,096.52
  4. Step 4: Simplify right side
    37,873x = 971,369,557.54
  5. Step 5: Solve for x
    x = 971,369,557.54/37,873
  6. Step 6: Final answer
    x = 25,648.08

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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.