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Finding the Fourth Proportional to 65,448.04, 98,201.22 and 34,276

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Solution

The fourth proportional to 65,448.04, 98,201.22 and 34,276 is: 51,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,448.04 : 98,201.22 = 34,276 : x
  2. Step 2: Convert to fraction form
    65,448.04/98,201.22 = 34,276/x
  3. Step 3: Cross multiply
    65,448.04x = 98,201.22 × 34,276
  4. Step 4: Simplify right side
    65,448.04x = 3,365,945,016.72
  5. Step 5: Solve for x
    x = 3,365,945,016.72/65,448.04
  6. Step 6: Final answer
    x = 51,429.27

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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.