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Finding the Fourth Proportional to 75,504.66, 113,254.11 and 22,912.02

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Solution

The fourth proportional to 75,504.66, 113,254.11 and 22,912.02 is: 34,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,504.66 : 113,254.11 = 22,912.02 : x
  2. Step 2: Convert to fraction form
    75,504.66/113,254.11 = 22,912.02/x
  3. Step 3: Cross multiply
    75,504.66x = 113,254.11 × 22,912.02
  4. Step 4: Simplify right side
    75,504.66x = 2,594,880,433.40
  5. Step 5: Solve for x
    x = 2,594,880,433.40/75,504.66
  6. Step 6: Final answer
    x = 34,367.16

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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.