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Finding the Fourth Proportional to 49,564.34, 74,420.32 and 20,039.84

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Solution

The fourth proportional to 49,564.34, 74,420.32 and 20,039.84 is: 30,089.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,564.34 : 74,420.32 = 20,039.84 : x
  2. Step 2: Convert to fraction form
    49,564.34/74,420.32 = 20,039.84/x
  3. Step 3: Cross multiply
    49,564.34x = 74,420.32 × 20,039.84
  4. Step 4: Simplify right side
    49,564.34x = 1,491,371,205.35
  5. Step 5: Solve for x
    x = 1,491,371,205.35/49,564.34
  6. Step 6: Final answer
    x = 30,089.60

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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.