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Finding the Fourth Proportional to 48,206.88, 72,361.44 and 42,696

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Solution

The fourth proportional to 48,206.88, 72,361.44 and 42,696 is: 64,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,206.88 : 72,361.44 = 42,696 : x
  2. Step 2: Convert to fraction form
    48,206.88/72,361.44 = 42,696/x
  3. Step 3: Cross multiply
    48,206.88x = 72,361.44 × 42,696
  4. Step 4: Simplify right side
    48,206.88x = 3,089,544,042.24
  5. Step 5: Solve for x
    x = 3,089,544,042.24/48,206.88
  6. Step 6: Final answer
    x = 64,089.28

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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.