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Finding the Fourth Proportional to 65,648.82, 98,422.47 and 34,024.26

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Solution

The fourth proportional to 65,648.82, 98,422.47 and 34,024.26 is: 51,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,648.82 : 98,422.47 = 34,024.26 : x
  2. Step 2: Convert to fraction form
    65,648.82/98,422.47 = 34,024.26/x
  3. Step 3: Cross multiply
    65,648.82x = 98,422.47 × 34,024.26
  4. Step 4: Simplify right side
    65,648.82x = 3,348,751,709.12
  5. Step 5: Solve for x
    x = 3,348,751,709.12/65,648.82
  6. Step 6: Final answer
    x = 51,010.08

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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.