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Finding the Fourth Proportional to 30,883.20, 46,324.80 and 15,331.20

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Solution

The fourth proportional to 30,883.20, 46,324.80 and 15,331.20 is: 22,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.20 : 46,324.80 = 15,331.20 : x
  2. Step 2: Convert to fraction form
    30,883.20/46,324.80 = 15,331.20/x
  3. Step 3: Cross multiply
    30,883.20x = 46,324.80 × 15,331.20
  4. Step 4: Simplify right side
    30,883.20x = 710,214,773.76
  5. Step 5: Solve for x
    x = 710,214,773.76/30,883.20
  6. Step 6: Final answer
    x = 22,996.80

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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.