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Finding the Fourth Proportional to 55,847, 77,068.98 and 30,696.68

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Solution

The fourth proportional to 55,847, 77,068.98 and 30,696.68 is: 42,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,847 : 77,068.98 = 30,696.68 : x
  2. Step 2: Convert to fraction form
    55,847/77,068.98 = 30,696.68/x
  3. Step 3: Cross multiply
    55,847x = 77,068.98 × 30,696.68
  4. Step 4: Simplify right side
    55,847x = 2,365,761,816.99
  5. Step 5: Solve for x
    x = 2,365,761,816.99/55,847
  6. Step 6: Final answer
    x = 42,361.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.