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Finding the Fourth Proportional to 30,873.65, 46,310.07 and 7,500.02

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Solution

The fourth proportional to 30,873.65, 46,310.07 and 7,500.02 is: 11,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.65 : 46,310.07 = 7,500.02 : x
  2. Step 2: Convert to fraction form
    30,873.65/46,310.07 = 7,500.02/x
  3. Step 3: Cross multiply
    30,873.65x = 46,310.07 × 7,500.02
  4. Step 4: Simplify right side
    30,873.65x = 347,326,451.20
  5. Step 5: Solve for x
    x = 347,326,451.20/30,873.65
  6. Step 6: Final answer
    x = 11,249.93

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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.