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Finding the Fourth Proportional to 52,375.14, 78,583.50 and 19,097.46

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Solution

The fourth proportional to 52,375.14, 78,583.50 and 19,097.46 is: 28,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,375.14 : 78,583.50 = 19,097.46 : x
  2. Step 2: Convert to fraction form
    52,375.14/78,583.50 = 19,097.46/x
  3. Step 3: Cross multiply
    52,375.14x = 78,583.50 × 19,097.46
  4. Step 4: Simplify right side
    52,375.14x = 1,500,745,247.91
  5. Step 5: Solve for x
    x = 1,500,745,247.91/52,375.14
  6. Step 6: Final answer
    x = 28,653.77

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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.