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Finding the Fourth Proportional to 49,261.95, 73,894.05 and 17,674.11

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Solution

The fourth proportional to 49,261.95, 73,894.05 and 17,674.11 is: 26,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,261.95 : 73,894.05 = 17,674.11 : x
  2. Step 2: Convert to fraction form
    49,261.95/73,894.05 = 17,674.11/x
  3. Step 3: Cross multiply
    49,261.95x = 73,894.05 × 17,674.11
  4. Step 4: Simplify right side
    49,261.95x = 1,306,011,568.05
  5. Step 5: Solve for x
    x = 1,306,011,568.05/49,261.95
  6. Step 6: Final answer
    x = 26,511.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.