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Finding the Fourth Proportional to 30,882.61, 46,323.78 and 7,509.25

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Solution

The fourth proportional to 30,882.61, 46,323.78 and 7,509.25 is: 11,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.61 : 46,323.78 = 7,509.25 : x
  2. Step 2: Convert to fraction form
    30,882.61/46,323.78 = 7,509.25/x
  3. Step 3: Cross multiply
    30,882.61x = 46,323.78 × 7,509.25
  4. Step 4: Simplify right side
    30,882.61x = 347,856,844.97
  5. Step 5: Solve for x
    x = 347,856,844.97/30,882.61
  6. Step 6: Final answer
    x = 11,263.84

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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.