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Finding the Fourth Proportional to 65,037.24, 97,544.52 and 18,279

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Solution

The fourth proportional to 65,037.24, 97,544.52 and 18,279 is: 27,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,037.24 : 97,544.52 = 18,279 : x
  2. Step 2: Convert to fraction form
    65,037.24/97,544.52 = 18,279/x
  3. Step 3: Cross multiply
    65,037.24x = 97,544.52 × 18,279
  4. Step 4: Simplify right side
    65,037.24x = 1,783,016,281.08
  5. Step 5: Solve for x
    x = 1,783,016,281.08/65,037.24
  6. Step 6: Final answer
    x = 27,415.31

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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.