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Finding the Fourth Proportional to 35,851.89, 53,800.31 and 13,667.20

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Solution

The fourth proportional to 35,851.89, 53,800.31 and 13,667.20 is: 20,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,851.89 : 53,800.31 = 13,667.20 : x
  2. Step 2: Convert to fraction form
    35,851.89/53,800.31 = 13,667.20/x
  3. Step 3: Cross multiply
    35,851.89x = 53,800.31 × 13,667.20
  4. Step 4: Simplify right side
    35,851.89x = 735,299,596.83
  5. Step 5: Solve for x
    x = 735,299,596.83/35,851.89
  6. Step 6: Final answer
    x = 20,509.37

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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.