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Finding the Fourth Proportional to 53,428.86, 73,731.87 and 32,202.54

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Solution

The fourth proportional to 53,428.86, 73,731.87 and 32,202.54 is: 44,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,428.86 : 73,731.87 = 32,202.54 : x
  2. Step 2: Convert to fraction form
    53,428.86/73,731.87 = 32,202.54/x
  3. Step 3: Cross multiply
    53,428.86x = 73,731.87 × 32,202.54
  4. Step 4: Simplify right side
    53,428.86x = 2,374,353,492.95
  5. Step 5: Solve for x
    x = 2,374,353,492.95/53,428.86
  6. Step 6: Final answer
    x = 44,439.53

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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.