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Finding the Fourth Proportional to 46,766.70, 70,180.74 and 17,184.78

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Solution

The fourth proportional to 46,766.70, 70,180.74 and 17,184.78 is: 25,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,766.70 : 70,180.74 = 17,184.78 : x
  2. Step 2: Convert to fraction form
    46,766.70/70,180.74 = 17,184.78/x
  3. Step 3: Cross multiply
    46,766.70x = 70,180.74 × 17,184.78
  4. Step 4: Simplify right side
    46,766.70x = 1,206,040,577.14
  5. Step 5: Solve for x
    x = 1,206,040,577.14/46,766.70
  6. Step 6: Final answer
    x = 25,788.45

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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.