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Finding the Fourth Proportional to 98,170.08, 147,240.54 and 35,826

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Solution

The fourth proportional to 98,170.08, 147,240.54 and 35,826 is: 53,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,170.08 : 147,240.54 = 35,826 : x
  2. Step 2: Convert to fraction form
    98,170.08/147,240.54 = 35,826/x
  3. Step 3: Cross multiply
    98,170.08x = 147,240.54 × 35,826
  4. Step 4: Simplify right side
    98,170.08x = 5,275,039,586.04
  5. Step 5: Solve for x
    x = 5,275,039,586.04/98,170.08
  6. Step 6: Final answer
    x = 53,733.68

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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.