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Finding the Fourth Proportional to 30,959.20, 46,442.04 and 19,262.80

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Solution

The fourth proportional to 30,959.20, 46,442.04 and 19,262.80 is: 28,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.20 : 46,442.04 = 19,262.80 : x
  2. Step 2: Convert to fraction form
    30,959.20/46,442.04 = 19,262.80/x
  3. Step 3: Cross multiply
    30,959.20x = 46,442.04 × 19,262.80
  4. Step 4: Simplify right side
    30,959.20x = 894,603,728.11
  5. Step 5: Solve for x
    x = 894,603,728.11/30,959.20
  6. Step 6: Final answer
    x = 28,896.22

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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.