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Finding the Fourth Proportional to 76,376.60, 114,564.90 and 20,216.60

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Solution

The fourth proportional to 76,376.60, 114,564.90 and 20,216.60 is: 30,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,376.60 : 114,564.90 = 20,216.60 : x
  2. Step 2: Convert to fraction form
    76,376.60/114,564.90 = 20,216.60/x
  3. Step 3: Cross multiply
    76,376.60x = 114,564.90 × 20,216.60
  4. Step 4: Simplify right side
    76,376.60x = 2,316,112,757.34
  5. Step 5: Solve for x
    x = 2,316,112,757.34/76,376.60
  6. Step 6: Final answer
    x = 30,324.90

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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.