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Finding the Fourth Proportional to 98,150.49, 147,249.23 and 31,596.84

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Solution

The fourth proportional to 98,150.49, 147,249.23 and 31,596.84 is: 47,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,150.49 : 147,249.23 = 31,596.84 : x
  2. Step 2: Convert to fraction form
    98,150.49/147,249.23 = 31,596.84/x
  3. Step 3: Cross multiply
    98,150.49x = 147,249.23 × 31,596.84
  4. Step 4: Simplify right side
    98,150.49x = 4,652,610,202.45
  5. Step 5: Solve for x
    x = 4,652,610,202.45/98,150.49
  6. Step 6: Final answer
    x = 47,402.82

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