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Finding the Fourth Proportional to 30,539.82, 45,801.20 and 10,813.08

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Solution

The fourth proportional to 30,539.82, 45,801.20 and 10,813.08 is: 16,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.82 : 45,801.20 = 10,813.08 : x
  2. Step 2: Convert to fraction form
    30,539.82/45,801.20 = 10,813.08/x
  3. Step 3: Cross multiply
    30,539.82x = 45,801.20 × 10,813.08
  4. Step 4: Simplify right side
    30,539.82x = 495,252,039.70
  5. Step 5: Solve for x
    x = 495,252,039.70/30,539.82
  6. Step 6: Final answer
    x = 16,216.60

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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.