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Finding the Fourth Proportional to 38,056.36, 57,084.54 and 20,636.50

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Solution

The fourth proportional to 38,056.36, 57,084.54 and 20,636.50 is: 30,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056.36 : 57,084.54 = 20,636.50 : x
  2. Step 2: Convert to fraction form
    38,056.36/57,084.54 = 20,636.50/x
  3. Step 3: Cross multiply
    38,056.36x = 57,084.54 × 20,636.50
  4. Step 4: Simplify right side
    38,056.36x = 1,178,025,109.71
  5. Step 5: Solve for x
    x = 1,178,025,109.71/38,056.36
  6. Step 6: Final answer
    x = 30,954.75

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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.