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Finding the Fourth Proportional to 80,772.50, 121,165.24 and 25,368.50

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Solution

The fourth proportional to 80,772.50, 121,165.24 and 25,368.50 is: 38,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,772.50 : 121,165.24 = 25,368.50 : x
  2. Step 2: Convert to fraction form
    80,772.50/121,165.24 = 25,368.50/x
  3. Step 3: Cross multiply
    80,772.50x = 121,165.24 × 25,368.50
  4. Step 4: Simplify right side
    80,772.50x = 3,073,780,390.94
  5. Step 5: Solve for x
    x = 3,073,780,390.94/80,772.50
  6. Step 6: Final answer
    x = 38,054.79

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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.