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Finding the Fourth Proportional to 103,216, 154,850.02 and 29,344

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Solution

The fourth proportional to 103,216, 154,850.02 and 29,344 is: 44,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,216 : 154,850.02 = 29,344 : x
  2. Step 2: Convert to fraction form
    103,216/154,850.02 = 29,344/x
  3. Step 3: Cross multiply
    103,216x = 154,850.02 × 29,344
  4. Step 4: Simplify right side
    103,216x = 4,543,918,986.88
  5. Step 5: Solve for x
    x = 4,543,918,986.88/103,216
  6. Step 6: Final answer
    x = 44,023.40

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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.