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Finding the Fourth Proportional to 103,638.64, 155,467.68 and 41,314

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Solution

The fourth proportional to 103,638.64, 155,467.68 and 41,314 is: 61,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638.64 : 155,467.68 = 41,314 : x
  2. Step 2: Convert to fraction form
    103,638.64/155,467.68 = 41,314/x
  3. Step 3: Cross multiply
    103,638.64x = 155,467.68 × 41,314
  4. Step 4: Simplify right side
    103,638.64x = 6,422,991,731.52
  5. Step 5: Solve for x
    x = 6,422,991,731.52/103,638.64
  6. Step 6: Final answer
    x = 61,974.87

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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.