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Finding the Fourth Proportional to 37,288.50, 51,458.94 and 20,521.50

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Solution

The fourth proportional to 37,288.50, 51,458.94 and 20,521.50 is: 28,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,288.50 : 51,458.94 = 20,521.50 : x
  2. Step 2: Convert to fraction form
    37,288.50/51,458.94 = 20,521.50/x
  3. Step 3: Cross multiply
    37,288.50x = 51,458.94 × 20,521.50
  4. Step 4: Simplify right side
    37,288.50x = 1,056,014,637.21
  5. Step 5: Solve for x
    x = 1,056,014,637.21/37,288.50
  6. Step 6: Final answer
    x = 28,320.12

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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.