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Finding the Fourth Proportional to 37,242.93, 55,865 and 9,163.06

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Solution

The fourth proportional to 37,242.93, 55,865 and 9,163.06 is: 13,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,242.93 : 55,865 = 9,163.06 : x
  2. Step 2: Convert to fraction form
    37,242.93/55,865 = 9,163.06/x
  3. Step 3: Cross multiply
    37,242.93x = 55,865 × 9,163.06
  4. Step 4: Simplify right side
    37,242.93x = 511,894,346.90
  5. Step 5: Solve for x
    x = 511,894,346.90/37,242.93
  6. Step 6: Final answer
    x = 13,744.74

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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.