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Finding the Fourth Proportional to 65,374.83, 97,969.54 and 27,383.19

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Solution

The fourth proportional to 65,374.83, 97,969.54 and 27,383.19 is: 41,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,374.83 : 97,969.54 = 27,383.19 : x
  2. Step 2: Convert to fraction form
    65,374.83/97,969.54 = 27,383.19/x
  3. Step 3: Cross multiply
    65,374.83x = 97,969.54 × 27,383.19
  4. Step 4: Simplify right side
    65,374.83x = 2,682,718,528.03
  5. Step 5: Solve for x
    x = 2,682,718,528.03/65,374.83
  6. Step 6: Final answer
    x = 41,035.95

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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.