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Finding the Fourth Proportional to 55,236, 82,857.60 and 15,796.32

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Solution

The fourth proportional to 55,236, 82,857.60 and 15,796.32 is: 23,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,236 : 82,857.60 = 15,796.32 : x
  2. Step 2: Convert to fraction form
    55,236/82,857.60 = 15,796.32/x
  3. Step 3: Cross multiply
    55,236x = 82,857.60 × 15,796.32
  4. Step 4: Simplify right side
    55,236x = 1,308,845,164.03
  5. Step 5: Solve for x
    x = 1,308,845,164.03/55,236
  6. Step 6: Final answer
    x = 23,695.51

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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.