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Finding the Fourth Proportional to 65,455.56, 98,218.53 and 26,013

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Solution

The fourth proportional to 65,455.56, 98,218.53 and 26,013 is: 39,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,455.56 : 98,218.53 = 26,013 : x
  2. Step 2: Convert to fraction form
    65,455.56/98,218.53 = 26,013/x
  3. Step 3: Cross multiply
    65,455.56x = 98,218.53 × 26,013
  4. Step 4: Simplify right side
    65,455.56x = 2,554,958,620.89
  5. Step 5: Solve for x
    x = 2,554,958,620.89/65,455.56
  6. Step 6: Final answer
    x = 39,033.49

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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.