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Finding the Fourth Proportional to 76,584, 114,882.24 and 21,180.48

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Solution

The fourth proportional to 76,584, 114,882.24 and 21,180.48 is: 31,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,584 : 114,882.24 = 21,180.48 : x
  2. Step 2: Convert to fraction form
    76,584/114,882.24 = 21,180.48/x
  3. Step 3: Cross multiply
    76,584x = 114,882.24 × 21,180.48
  4. Step 4: Simplify right side
    76,584x = 2,433,260,986.68
  5. Step 5: Solve for x
    x = 2,433,260,986.68/76,584
  6. Step 6: Final answer
    x = 31,772.45

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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.