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Finding the Fourth Proportional to 37,071.28, 55,629.78 and 14,578

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Solution

The fourth proportional to 37,071.28, 55,629.78 and 14,578 is: 21,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,071.28 : 55,629.78 = 14,578 : x
  2. Step 2: Convert to fraction form
    37,071.28/55,629.78 = 14,578/x
  3. Step 3: Cross multiply
    37,071.28x = 55,629.78 × 14,578
  4. Step 4: Simplify right side
    37,071.28x = 810,970,932.84
  5. Step 5: Solve for x
    x = 810,970,932.84/37,071.28
  6. Step 6: Final answer
    x = 21,875.99

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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.