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Finding the Fourth Proportional to 30,930.20, 46,418.62 and 22,631.62

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Solution

The fourth proportional to 30,930.20, 46,418.62 and 22,631.62 is: 33,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.20 : 46,418.62 = 22,631.62 : x
  2. Step 2: Convert to fraction form
    30,930.20/46,418.62 = 22,631.62/x
  3. Step 3: Cross multiply
    30,930.20x = 46,418.62 × 22,631.62
  4. Step 4: Simplify right side
    30,930.20x = 1,050,528,684.81
  5. Step 5: Solve for x
    x = 1,050,528,684.81/30,930.20
  6. Step 6: Final answer
    x = 33,964.50

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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.