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Finding the Fourth Proportional to 30,873.80, 46,310.82 and 7,500.24

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Solution

The fourth proportional to 30,873.80, 46,310.82 and 7,500.24 is: 11,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.80 : 46,310.82 = 7,500.24 : x
  2. Step 2: Convert to fraction form
    30,873.80/46,310.82 = 7,500.24/x
  3. Step 3: Cross multiply
    30,873.80x = 46,310.82 × 7,500.24
  4. Step 4: Simplify right side
    30,873.80x = 347,342,111.32
  5. Step 5: Solve for x
    x = 347,342,111.32/30,873.80
  6. Step 6: Final answer
    x = 11,250.38

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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.