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Finding the Fourth Proportional to 30,827.30, 46,240.97 and 7,453.76

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Solution

The fourth proportional to 30,827.30, 46,240.97 and 7,453.76 is: 11,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.30 : 46,240.97 = 7,453.76 : x
  2. Step 2: Convert to fraction form
    30,827.30/46,240.97 = 7,453.76/x
  3. Step 3: Cross multiply
    30,827.30x = 46,240.97 × 7,453.76
  4. Step 4: Simplify right side
    30,827.30x = 344,668,824.07
  5. Step 5: Solve for x
    x = 344,668,824.07/30,827.30
  6. Step 6: Final answer
    x = 11,180.64

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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.