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Finding the Fourth Proportional to 98,227.48, 147,361.70 and 31,674.33

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Solution

The fourth proportional to 98,227.48, 147,361.70 and 31,674.33 is: 47,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,227.48 : 147,361.70 = 31,674.33 : x
  2. Step 2: Convert to fraction form
    98,227.48/147,361.70 = 31,674.33/x
  3. Step 3: Cross multiply
    98,227.48x = 147,361.70 × 31,674.33
  4. Step 4: Simplify right side
    98,227.48x = 4,667,583,115.16
  5. Step 5: Solve for x
    x = 4,667,583,115.16/98,227.48
  6. Step 6: Final answer
    x = 47,518.10

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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.