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Finding the Fourth Proportional to 35,660.10, 53,477.49 and 13,165.97

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Solution

The fourth proportional to 35,660.10, 53,477.49 and 13,165.97 is: 19,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,660.10 : 53,477.49 = 13,165.97 : x
  2. Step 2: Convert to fraction form
    35,660.10/53,477.49 = 13,165.97/x
  3. Step 3: Cross multiply
    35,660.10x = 53,477.49 × 13,165.97
  4. Step 4: Simplify right side
    35,660.10x = 704,082,903.55
  5. Step 5: Solve for x
    x = 704,082,903.55/35,660.10
  6. Step 6: Final answer
    x = 19,744.28

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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.