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Finding the Fourth Proportional to 98,561.08, 147,842.70 and 28,441

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Solution

The fourth proportional to 98,561.08, 147,842.70 and 28,441 is: 42,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,561.08 : 147,842.70 = 28,441 : x
  2. Step 2: Convert to fraction form
    98,561.08/147,842.70 = 28,441/x
  3. Step 3: Cross multiply
    98,561.08x = 147,842.70 × 28,441
  4. Step 4: Simplify right side
    98,561.08x = 4,204,794,230.70
  5. Step 5: Solve for x
    x = 4,204,794,230.70/98,561.08
  6. Step 6: Final answer
    x = 42,661.81

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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.