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Finding the Fourth Proportional to 98,185.24, 147,234.12 and 35,812

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Solution

The fourth proportional to 98,185.24, 147,234.12 and 35,812 is: 53,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,185.24 : 147,234.12 = 35,812 : x
  2. Step 2: Convert to fraction form
    98,185.24/147,234.12 = 35,812/x
  3. Step 3: Cross multiply
    98,185.24x = 147,234.12 × 35,812
  4. Step 4: Simplify right side
    98,185.24x = 5,272,748,305.44
  5. Step 5: Solve for x
    x = 5,272,748,305.44/98,185.24
  6. Step 6: Final answer
    x = 53,702.05

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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.