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Finding the Fourth Proportional to 41,677.80, 57,519.94 and 26,571

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Solution

The fourth proportional to 41,677.80, 57,519.94 and 26,571 is: 36,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,677.80 : 57,519.94 = 26,571 : x
  2. Step 2: Convert to fraction form
    41,677.80/57,519.94 = 26,571/x
  3. Step 3: Cross multiply
    41,677.80x = 57,519.94 × 26,571
  4. Step 4: Simplify right side
    41,677.80x = 1,528,362,325.74
  5. Step 5: Solve for x
    x = 1,528,362,325.74/41,677.80
  6. Step 6: Final answer
    x = 36,670.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.