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Finding the Fourth Proportional to 30,684.48, 42,285.60 and 21,837.12

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Solution

The fourth proportional to 30,684.48, 42,285.60 and 21,837.12 is: 30,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684.48 : 42,285.60 = 21,837.12 : x
  2. Step 2: Convert to fraction form
    30,684.48/42,285.60 = 21,837.12/x
  3. Step 3: Cross multiply
    30,684.48x = 42,285.60 × 21,837.12
  4. Step 4: Simplify right side
    30,684.48x = 923,395,721.47
  5. Step 5: Solve for x
    x = 923,395,721.47/30,684.48
  6. Step 6: Final answer
    x = 30,093.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.