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Finding the Fourth Proportional to 65,805.17, 98,448.05 and 49,840.71

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Solution

The fourth proportional to 65,805.17, 98,448.05 and 49,840.71 is: 74,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,805.17 : 98,448.05 = 49,840.71 : x
  2. Step 2: Convert to fraction form
    65,805.17/98,448.05 = 49,840.71/x
  3. Step 3: Cross multiply
    65,805.17x = 98,448.05 × 49,840.71
  4. Step 4: Simplify right side
    65,805.17x = 4,906,720,532.73
  5. Step 5: Solve for x
    x = 4,906,720,532.73/65,805.17
  6. Step 6: Final answer
    x = 74,564.36

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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.