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Finding the Fourth Proportional to 37,586.10, 51,870.16 and 20,819.10

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Solution

The fourth proportional to 37,586.10, 51,870.16 and 20,819.10 is: 28,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,586.10 : 51,870.16 = 20,819.10 : x
  2. Step 2: Convert to fraction form
    37,586.10/51,870.16 = 20,819.10/x
  3. Step 3: Cross multiply
    37,586.10x = 51,870.16 × 20,819.10
  4. Step 4: Simplify right side
    37,586.10x = 1,079,890,048.06
  5. Step 5: Solve for x
    x = 1,079,890,048.06/37,586.10
  6. Step 6: Final answer
    x = 28,731.10

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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.