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Finding the Fourth Proportional to 35,704.28, 49,271.82 and 20,596.70

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Solution

The fourth proportional to 35,704.28, 49,271.82 and 20,596.70 is: 28,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.28 : 49,271.82 = 20,596.70 : x
  2. Step 2: Convert to fraction form
    35,704.28/49,271.82 = 20,596.70/x
  3. Step 3: Cross multiply
    35,704.28x = 49,271.82 × 20,596.70
  4. Step 4: Simplify right side
    35,704.28x = 1,014,836,894.99
  5. Step 5: Solve for x
    x = 1,014,836,894.99/35,704.28
  6. Step 6: Final answer
    x = 28,423.40

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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.