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Finding the Fourth Proportional to 98,896.65, 148,322.37 and 45,537.49

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Solution

The fourth proportional to 98,896.65, 148,322.37 and 45,537.49 is: 68,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,896.65 : 148,322.37 = 45,537.49 : x
  2. Step 2: Convert to fraction form
    98,896.65/148,322.37 = 45,537.49/x
  3. Step 3: Cross multiply
    98,896.65x = 148,322.37 × 45,537.49
  4. Step 4: Simplify right side
    98,896.65x = 6,754,228,796.82
  5. Step 5: Solve for x
    x = 6,754,228,796.82/98,896.65
  6. Step 6: Final answer
    x = 68,295.83

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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.