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Finding the Fourth Proportional to 30,691.40, 46,012.80 and 16,840.40

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Solution

The fourth proportional to 30,691.40, 46,012.80 and 16,840.40 is: 25,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.40 : 46,012.80 = 16,840.40 : x
  2. Step 2: Convert to fraction form
    30,691.40/46,012.80 = 16,840.40/x
  3. Step 3: Cross multiply
    30,691.40x = 46,012.80 × 16,840.40
  4. Step 4: Simplify right side
    30,691.40x = 774,873,957.12
  5. Step 5: Solve for x
    x = 774,873,957.12/30,691.40
  6. Step 6: Final answer
    x = 25,247.27

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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.