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Finding the Fourth Proportional to 37,415.87, 51,632.28 and 20,419.68

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Solution

The fourth proportional to 37,415.87, 51,632.28 and 20,419.68 is: 28,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,415.87 : 51,632.28 = 20,419.68 : x
  2. Step 2: Convert to fraction form
    37,415.87/51,632.28 = 20,419.68/x
  3. Step 3: Cross multiply
    37,415.87x = 51,632.28 × 20,419.68
  4. Step 4: Simplify right side
    37,415.87x = 1,054,314,635.27
  5. Step 5: Solve for x
    x = 1,054,314,635.27/37,415.87
  6. Step 6: Final answer
    x = 28,178.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.