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Finding the Fourth Proportional to 65,497.09, 98,163.47 and 28,013.17

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Solution

The fourth proportional to 65,497.09, 98,163.47 and 28,013.17 is: 41,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497.09 : 98,163.47 = 28,013.17 : x
  2. Step 2: Convert to fraction form
    65,497.09/98,163.47 = 28,013.17/x
  3. Step 3: Cross multiply
    65,497.09x = 98,163.47 × 28,013.17
  4. Step 4: Simplify right side
    65,497.09x = 2,749,869,342.02
  5. Step 5: Solve for x
    x = 2,749,869,342.02/65,497.09
  6. Step 6: Final answer
    x = 41,984.61

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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.