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Finding the Fourth Proportional to 31,157.49, 46,736.36 and 7,783.95

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Solution

The fourth proportional to 31,157.49, 46,736.36 and 7,783.95 is: 11,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.49 : 46,736.36 = 7,783.95 : x
  2. Step 2: Convert to fraction form
    31,157.49/46,736.36 = 7,783.95/x
  3. Step 3: Cross multiply
    31,157.49x = 46,736.36 × 7,783.95
  4. Step 4: Simplify right side
    31,157.49x = 363,793,450.50
  5. Step 5: Solve for x
    x = 363,793,450.50/31,157.49
  6. Step 6: Final answer
    x = 11,675.95

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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.