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Finding the Fourth Proportional to 48,670, 73,033.10 and 20,588.20

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Solution

The fourth proportional to 48,670, 73,033.10 and 20,588.20 is: 30,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,670 : 73,033.10 = 20,588.20 : x
  2. Step 2: Convert to fraction form
    48,670/73,033.10 = 20,588.20/x
  3. Step 3: Cross multiply
    48,670x = 73,033.10 × 20,588.20
  4. Step 4: Simplify right side
    48,670x = 1,503,620,069.42
  5. Step 5: Solve for x
    x = 1,503,620,069.42/48,670
  6. Step 6: Final answer
    x = 30,894.19

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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.