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Finding the Fourth Proportional to 65,497.16, 98,163.53 and 28,013.16

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Solution

The fourth proportional to 65,497.16, 98,163.53 and 28,013.16 is: 41,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497.16 : 98,163.53 = 28,013.16 : x
  2. Step 2: Convert to fraction form
    65,497.16/98,163.53 = 28,013.16/x
  3. Step 3: Cross multiply
    65,497.16x = 98,163.53 × 28,013.16
  4. Step 4: Simplify right side
    65,497.16x = 2,749,870,268.93
  5. Step 5: Solve for x
    x = 2,749,870,268.93/65,497.16
  6. Step 6: Final answer
    x = 41,984.58

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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.