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Finding the Fourth Proportional to 98,050.50, 147,097.62 and 35,721

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Solution

The fourth proportional to 98,050.50, 147,097.62 and 35,721 is: 53,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,050.50 : 147,097.62 = 35,721 : x
  2. Step 2: Convert to fraction form
    98,050.50/147,097.62 = 35,721/x
  3. Step 3: Cross multiply
    98,050.50x = 147,097.62 × 35,721
  4. Step 4: Simplify right side
    98,050.50x = 5,254,474,084.02
  5. Step 5: Solve for x
    x = 5,254,474,084.02/98,050.50
  6. Step 6: Final answer
    x = 53,589.47

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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.