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Finding the Fourth Proportional to 98,889.81, 148,318.32 and 35,697.83

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Solution

The fourth proportional to 98,889.81, 148,318.32 and 35,697.83 is: 53,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,889.81 : 148,318.32 = 35,697.83 : x
  2. Step 2: Convert to fraction form
    98,889.81/148,318.32 = 35,697.83/x
  3. Step 3: Cross multiply
    98,889.81x = 148,318.32 × 35,697.83
  4. Step 4: Simplify right side
    98,889.81x = 5,294,641,431.65
  5. Step 5: Solve for x
    x = 5,294,641,431.65/98,889.81
  6. Step 6: Final answer
    x = 53,540.82

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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.