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Finding the Fourth Proportional to 30,873.75, 46,310.59 and 7,500.16

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Solution

The fourth proportional to 30,873.75, 46,310.59 and 7,500.16 is: 11,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.75 : 46,310.59 = 7,500.16 : x
  2. Step 2: Convert to fraction form
    30,873.75/46,310.59 = 7,500.16/x
  3. Step 3: Cross multiply
    30,873.75x = 46,310.59 × 7,500.16
  4. Step 4: Simplify right side
    30,873.75x = 347,336,834.69
  5. Step 5: Solve for x
    x = 347,336,834.69/30,873.75
  6. Step 6: Final answer
    x = 11,250.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.