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Finding the Fourth Proportional to 65,029.49, 97,544.24 and 18,282.36

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Solution

The fourth proportional to 65,029.49, 97,544.24 and 18,282.36 is: 27,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,029.49 : 97,544.24 = 18,282.36 : x
  2. Step 2: Convert to fraction form
    65,029.49/97,544.24 = 18,282.36/x
  3. Step 3: Cross multiply
    65,029.49x = 97,544.24 × 18,282.36
  4. Step 4: Simplify right side
    65,029.49x = 1,783,338,820.19
  5. Step 5: Solve for x
    x = 1,783,338,820.19/65,029.49
  6. Step 6: Final answer
    x = 27,423.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.