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Finding the Fourth Proportional to 54,232.96, 74,838 and 30,359.20

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Solution

The fourth proportional to 54,232.96, 74,838 and 30,359.20 is: 41,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,232.96 : 74,838 = 30,359.20 : x
  2. Step 2: Convert to fraction form
    54,232.96/74,838 = 30,359.20/x
  3. Step 3: Cross multiply
    54,232.96x = 74,838 × 30,359.20
  4. Step 4: Simplify right side
    54,232.96x = 2,272,021,809.60
  5. Step 5: Solve for x
    x = 2,272,021,809.60/54,232.96
  6. Step 6: Final answer
    x = 41,893.75

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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.