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Finding the Fourth Proportional to 30,700.92, 46,051.38 and 10,975.80

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Solution

The fourth proportional to 30,700.92, 46,051.38 and 10,975.80 is: 16,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.92 : 46,051.38 = 10,975.80 : x
  2. Step 2: Convert to fraction form
    30,700.92/46,051.38 = 10,975.80/x
  3. Step 3: Cross multiply
    30,700.92x = 46,051.38 × 10,975.80
  4. Step 4: Simplify right side
    30,700.92x = 505,450,736.60
  5. Step 5: Solve for x
    x = 505,450,736.60/30,700.92
  6. Step 6: Final answer
    x = 16,463.70

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1.5x scale

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.