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Finding the Fourth Proportional to 30,280.25, 45,422.00 and 9,505.37

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Solution

The fourth proportional to 30,280.25, 45,422.00 and 9,505.37 is: 14,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280.25 : 45,422.00 = 9,505.37 : x
  2. Step 2: Convert to fraction form
    30,280.25/45,422.00 = 9,505.37/x
  3. Step 3: Cross multiply
    30,280.25x = 45,422.00 × 9,505.37
  4. Step 4: Simplify right side
    30,280.25x = 431,752,868.61
  5. Step 5: Solve for x
    x = 431,752,868.61/30,280.25
  6. Step 6: Final answer
    x = 14,258.56

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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.