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Finding the Fourth Proportional to 65,040, 97,574.76 and 27,601.44

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Solution

The fourth proportional to 65,040, 97,574.76 and 27,601.44 is: 41,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,040 : 97,574.76 = 27,601.44 : x
  2. Step 2: Convert to fraction form
    65,040/97,574.76 = 27,601.44/x
  3. Step 3: Cross multiply
    65,040x = 97,574.76 × 27,601.44
  4. Step 4: Simplify right side
    65,040x = 2,693,203,883.65
  5. Step 5: Solve for x
    x = 2,693,203,883.65/65,040
  6. Step 6: Final answer
    x = 41,408.42

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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.