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Finding the Fourth Proportional to 76,128, 114,202.89 and 23,541.54

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Solution

The fourth proportional to 76,128, 114,202.89 and 23,541.54 is: 35,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,128 : 114,202.89 = 23,541.54 : x
  2. Step 2: Convert to fraction form
    76,128/114,202.89 = 23,541.54/x
  3. Step 3: Cross multiply
    76,128x = 114,202.89 × 23,541.54
  4. Step 4: Simplify right side
    76,128x = 2,688,511,903.05
  5. Step 5: Solve for x
    x = 2,688,511,903.05/76,128
  6. Step 6: Final answer
    x = 35,315.68

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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.