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Finding the Fourth Proportional to 37,412.50, 51,629.32 and 20,645.50

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Solution

The fourth proportional to 37,412.50, 51,629.32 and 20,645.50 is: 28,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412.50 : 51,629.32 = 20,645.50 : x
  2. Step 2: Convert to fraction form
    37,412.50/51,629.32 = 20,645.50/x
  3. Step 3: Cross multiply
    37,412.50x = 51,629.32 × 20,645.50
  4. Step 4: Simplify right side
    37,412.50x = 1,065,913,074.45
  5. Step 5: Solve for x
    x = 1,065,913,074.45/37,412.50
  6. Step 6: Final answer
    x = 28,490.83

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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.