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Finding the Fourth Proportional to 50,536.54, 75,804.49 and 13,096.51

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Solution

The fourth proportional to 50,536.54, 75,804.49 and 13,096.51 is: 19,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,536.54 : 75,804.49 = 13,096.51 : x
  2. Step 2: Convert to fraction form
    50,536.54/75,804.49 = 13,096.51/x
  3. Step 3: Cross multiply
    50,536.54x = 75,804.49 × 13,096.51
  4. Step 4: Simplify right side
    50,536.54x = 992,774,261.33
  5. Step 5: Solve for x
    x = 992,774,261.33/50,536.54
  6. Step 6: Final answer
    x = 19,644.68

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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.