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Finding the Fourth Proportional to 50,542.95, 75,829.01 and 15,487.77

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Solution

The fourth proportional to 50,542.95, 75,829.01 and 15,487.77 is: 23,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,542.95 : 75,829.01 = 15,487.77 : x
  2. Step 2: Convert to fraction form
    50,542.95/75,829.01 = 15,487.77/x
  3. Step 3: Cross multiply
    50,542.95x = 75,829.01 × 15,487.77
  4. Step 4: Simplify right side
    50,542.95x = 1,174,422,266.21
  5. Step 5: Solve for x
    x = 1,174,422,266.21/50,542.95
  6. Step 6: Final answer
    x = 23,236.12

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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.