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Finding the Fourth Proportional to 30,911.30, 46,366.95 and 7,537.94

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Solution

The fourth proportional to 30,911.30, 46,366.95 and 7,537.94 is: 11,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911.30 : 46,366.95 = 7,537.94 : x
  2. Step 2: Convert to fraction form
    30,911.30/46,366.95 = 7,537.94/x
  3. Step 3: Cross multiply
    30,911.30x = 46,366.95 × 7,537.94
  4. Step 4: Simplify right side
    30,911.30x = 349,511,287.08
  5. Step 5: Solve for x
    x = 349,511,287.08/30,911.30
  6. Step 6: Final answer
    x = 11,306.91

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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.