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Finding the Fourth Proportional to 75,433.40, 113,121.30 and 22,825.40

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Solution

The fourth proportional to 75,433.40, 113,121.30 and 22,825.40 is: 34,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433.40 : 113,121.30 = 22,825.40 : x
  2. Step 2: Convert to fraction form
    75,433.40/113,121.30 = 22,825.40/x
  3. Step 3: Cross multiply
    75,433.40x = 113,121.30 × 22,825.40
  4. Step 4: Simplify right side
    75,433.40x = 2,582,038,921.02
  5. Step 5: Solve for x
    x = 2,582,038,921.02/75,433.40
  6. Step 6: Final answer
    x = 34,229.39

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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.