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Finding the Fourth Proportional to 80,646.30, 120,969.45 and 24,486.30

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Solution

The fourth proportional to 80,646.30, 120,969.45 and 24,486.30 is: 36,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,646.30 : 120,969.45 = 24,486.30 : x
  2. Step 2: Convert to fraction form
    80,646.30/120,969.45 = 24,486.30/x
  3. Step 3: Cross multiply
    80,646.30x = 120,969.45 × 24,486.30
  4. Step 4: Simplify right side
    80,646.30x = 2,962,094,243.54
  5. Step 5: Solve for x
    x = 2,962,094,243.54/80,646.30
  6. Step 6: Final answer
    x = 36,729.45

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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.