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Finding the Fourth Proportional to 49,674.85, 74,491.54 and 20,071.94

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Solution

The fourth proportional to 49,674.85, 74,491.54 and 20,071.94 is: 30,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674.85 : 74,491.54 = 20,071.94 : x
  2. Step 2: Convert to fraction form
    49,674.85/74,491.54 = 20,071.94/x
  3. Step 3: Cross multiply
    49,674.85x = 74,491.54 × 20,071.94
  4. Step 4: Simplify right side
    49,674.85x = 1,495,189,298.75
  5. Step 5: Solve for x
    x = 1,495,189,298.75/49,674.85
  6. Step 6: Final answer
    x = 30,099.52

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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.