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Finding the Fourth Proportional to 49,176, 67,865.04 and 26,820

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Solution

The fourth proportional to 49,176, 67,865.04 and 26,820 is: 37,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176 : 67,865.04 = 26,820 : x
  2. Step 2: Convert to fraction form
    49,176/67,865.04 = 26,820/x
  3. Step 3: Cross multiply
    49,176x = 67,865.04 × 26,820
  4. Step 4: Simplify right side
    49,176x = 1,820,140,372.80
  5. Step 5: Solve for x
    x = 1,820,140,372.80/49,176
  6. Step 6: Final answer
    x = 37,012.78

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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.