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Finding the Fourth Proportional to 38,089.08, 57,133.62 and 17,298

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Solution

The fourth proportional to 38,089.08, 57,133.62 and 17,298 is: 25,947

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,089.08 : 57,133.62 = 17,298 : x
  2. Step 2: Convert to fraction form
    38,089.08/57,133.62 = 17,298/x
  3. Step 3: Cross multiply
    38,089.08x = 57,133.62 × 17,298
  4. Step 4: Simplify right side
    38,089.08x = 988,297,358.76
  5. Step 5: Solve for x
    x = 988,297,358.76/38,089.08
  6. Step 6: Final answer
    x = 25,947

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.