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Finding the Fourth Proportional to 30,740.41, 46,106.02 and 8,551.50

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Solution

The fourth proportional to 30,740.41, 46,106.02 and 8,551.50 is: 12,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.41 : 46,106.02 = 8,551.50 : x
  2. Step 2: Convert to fraction form
    30,740.41/46,106.02 = 8,551.50/x
  3. Step 3: Cross multiply
    30,740.41x = 46,106.02 × 8,551.50
  4. Step 4: Simplify right side
    30,740.41x = 394,275,630.03
  5. Step 5: Solve for x
    x = 394,275,630.03/30,740.41
  6. Step 6: Final answer
    x = 12,825.97

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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.