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Finding the Fourth Proportional to 35,817.94, 49,429.34 and 20,714.01

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Solution

The fourth proportional to 35,817.94, 49,429.34 and 20,714.01 is: 28,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,817.94 : 49,429.34 = 20,714.01 : x
  2. Step 2: Convert to fraction form
    35,817.94/49,429.34 = 20,714.01/x
  3. Step 3: Cross multiply
    35,817.94x = 49,429.34 × 20,714.01
  4. Step 4: Simplify right side
    35,817.94x = 1,023,879,843.05
  5. Step 5: Solve for x
    x = 1,023,879,843.05/35,817.94
  6. Step 6: Final answer
    x = 28,585.67

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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.