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Finding the Fourth Proportional to 50,537.39, 75,806.28 and 13,094.78

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Solution

The fourth proportional to 50,537.39, 75,806.28 and 13,094.78 is: 19,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537.39 : 75,806.28 = 13,094.78 : x
  2. Step 2: Convert to fraction form
    50,537.39/75,806.28 = 13,094.78/x
  3. Step 3: Cross multiply
    50,537.39x = 75,806.28 × 13,094.78
  4. Step 4: Simplify right side
    50,537.39x = 992,666,180.19
  5. Step 5: Solve for x
    x = 992,666,180.19/50,537.39
  6. Step 6: Final answer
    x = 19,642.21

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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.