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Finding the Fourth Proportional to 46,650.80, 69,992.40 and 20,374.40

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Solution

The fourth proportional to 46,650.80, 69,992.40 and 20,374.40 is: 30,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,650.80 : 69,992.40 = 20,374.40 : x
  2. Step 2: Convert to fraction form
    46,650.80/69,992.40 = 20,374.40/x
  3. Step 3: Cross multiply
    46,650.80x = 69,992.40 × 20,374.40
  4. Step 4: Simplify right side
    46,650.80x = 1,426,053,154.56
  5. Step 5: Solve for x
    x = 1,426,053,154.56/46,650.80
  6. Step 6: Final answer
    x = 30,568.68

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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.