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Finding the Fourth Proportional to 37,153.89, 55,739.95 and 17,409.38

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Solution

The fourth proportional to 37,153.89, 55,739.95 and 17,409.38 is: 26,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,153.89 : 55,739.95 = 17,409.38 : x
  2. Step 2: Convert to fraction form
    37,153.89/55,739.95 = 17,409.38/x
  3. Step 3: Cross multiply
    37,153.89x = 55,739.95 × 17,409.38
  4. Step 4: Simplify right side
    37,153.89x = 970,397,962.05
  5. Step 5: Solve for x
    x = 970,397,962.05/37,153.89
  6. Step 6: Final answer
    x = 26,118.34

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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.