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Finding the Fourth Proportional to 65,228.44, 97,822.18 and 27,788.12

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Solution

The fourth proportional to 65,228.44, 97,822.18 and 27,788.12 is: 41,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228.44 : 97,822.18 = 27,788.12 : x
  2. Step 2: Convert to fraction form
    65,228.44/97,822.18 = 27,788.12/x
  3. Step 3: Cross multiply
    65,228.44x = 97,822.18 × 27,788.12
  4. Step 4: Simplify right side
    65,228.44x = 2,718,294,476.50
  5. Step 5: Solve for x
    x = 2,718,294,476.50/65,228.44
  6. Step 6: Final answer
    x = 41,673.46

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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.