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Finding the Fourth Proportional to 65,455, 98,169.94 and 18,058.30

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Solution

The fourth proportional to 65,455, 98,169.94 and 18,058.30 is: 27,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,455 : 98,169.94 = 18,058.30 : x
  2. Step 2: Convert to fraction form
    65,455/98,169.94 = 18,058.30/x
  3. Step 3: Cross multiply
    65,455x = 98,169.94 × 18,058.30
  4. Step 4: Simplify right side
    65,455x = 1,772,782,227.50
  5. Step 5: Solve for x
    x = 1,772,782,227.50/65,455
  6. Step 6: Final answer
    x = 27,083.98

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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.