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Finding the Fourth Proportional to 65,083.84, 97,640.78 and 27,645.12

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Solution

The fourth proportional to 65,083.84, 97,640.78 and 27,645.12 is: 41,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.84 : 97,640.78 = 27,645.12 : x
  2. Step 2: Convert to fraction form
    65,083.84/97,640.78 = 27,645.12/x
  3. Step 3: Cross multiply
    65,083.84x = 97,640.78 × 27,645.12
  4. Step 4: Simplify right side
    65,083.84x = 2,699,290,941.77
  5. Step 5: Solve for x
    x = 2,699,290,941.77/65,083.84
  6. Step 6: Final answer
    x = 41,474.06

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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.