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Finding the Fourth Proportional to 94,450, 130,341 and 52,008.44

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Solution

The fourth proportional to 94,450, 130,341 and 52,008.44 is: 71,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,450 : 130,341 = 52,008.44 : x
  2. Step 2: Convert to fraction form
    94,450/130,341 = 52,008.44/x
  3. Step 3: Cross multiply
    94,450x = 130,341 × 52,008.44
  4. Step 4: Simplify right side
    94,450x = 6,778,832,078.04
  5. Step 5: Solve for x
    x = 6,778,832,078.04/94,450
  6. Step 6: Final answer
    x = 71,771.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.