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Finding the Fourth Proportional to 30,280, 45,431.52 and 11,813.44

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Solution

The fourth proportional to 30,280, 45,431.52 and 11,813.44 is: 17,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,280 : 45,431.52 = 11,813.44 : x
  2. Step 2: Convert to fraction form
    30,280/45,431.52 = 11,813.44/x
  3. Step 3: Cross multiply
    30,280x = 45,431.52 × 11,813.44
  4. Step 4: Simplify right side
    30,280x = 536,702,535.63
  5. Step 5: Solve for x
    x = 536,702,535.63/30,280
  6. Step 6: Final answer
    x = 17,724.65

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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.