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Finding the Fourth Proportional to 48,600, 72,912.96 and 23,976

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Solution

The fourth proportional to 48,600, 72,912.96 and 23,976 is: 35,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,600 : 72,912.96 = 23,976 : x
  2. Step 2: Convert to fraction form
    48,600/72,912.96 = 23,976/x
  3. Step 3: Cross multiply
    48,600x = 72,912.96 × 23,976
  4. Step 4: Simplify right side
    48,600x = 1,748,161,128.96
  5. Step 5: Solve for x
    x = 1,748,161,128.96/48,600
  6. Step 6: Final answer
    x = 35,970.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.