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Finding the Fourth Proportional to 54,509.90, 75,224.34 and 32,999.36

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Solution

The fourth proportional to 54,509.90, 75,224.34 and 32,999.36 is: 45,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509.90 : 75,224.34 = 32,999.36 : x
  2. Step 2: Convert to fraction form
    54,509.90/75,224.34 = 32,999.36/x
  3. Step 3: Cross multiply
    54,509.90x = 75,224.34 × 32,999.36
  4. Step 4: Simplify right side
    54,509.90x = 2,482,355,076.42
  5. Step 5: Solve for x
    x = 2,482,355,076.42/54,509.90
  6. Step 6: Final answer
    x = 45,539.53

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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.