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Finding the Fourth Proportional to 30,851.47, 46,295.73 and 13,321.30

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Solution

The fourth proportional to 30,851.47, 46,295.73 and 13,321.30 is: 19,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.47 : 46,295.73 = 13,321.30 : x
  2. Step 2: Convert to fraction form
    30,851.47/46,295.73 = 13,321.30/x
  3. Step 3: Cross multiply
    30,851.47x = 46,295.73 × 13,321.30
  4. Step 4: Simplify right side
    30,851.47x = 616,719,308.05
  5. Step 5: Solve for x
    x = 616,719,308.05/30,851.47
  6. Step 6: Final answer
    x = 19,989.95

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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.