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Finding the Fourth Proportional to 65,264.57, 97,903.68 and 27,828.60

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Solution

The fourth proportional to 65,264.57, 97,903.68 and 27,828.60 is: 41,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,264.57 : 97,903.68 = 27,828.60 : x
  2. Step 2: Convert to fraction form
    65,264.57/97,903.68 = 27,828.60/x
  3. Step 3: Cross multiply
    65,264.57x = 97,903.68 × 27,828.60
  4. Step 4: Simplify right side
    65,264.57x = 2,724,522,349.25
  5. Step 5: Solve for x
    x = 2,724,522,349.25/65,264.57
  6. Step 6: Final answer
    x = 41,745.81

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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.