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Finding the Fourth Proportional to 53,978.82, 80,969.02 and 24,376.02

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Solution

The fourth proportional to 53,978.82, 80,969.02 and 24,376.02 is: 36,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.82 : 80,969.02 = 24,376.02 : x
  2. Step 2: Convert to fraction form
    53,978.82/80,969.02 = 24,376.02/x
  3. Step 3: Cross multiply
    53,978.82x = 80,969.02 × 24,376.02
  4. Step 4: Simplify right side
    53,978.82x = 1,973,702,450.90
  5. Step 5: Solve for x
    x = 1,973,702,450.90/53,978.82
  6. Step 6: Final answer
    x = 36,564.39

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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.