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Finding the Fourth Proportional to 35,977.36, 53,966.04 and 9,682.16

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Solution

The fourth proportional to 35,977.36, 53,966.04 and 9,682.16 is: 14,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977.36 : 53,966.04 = 9,682.16 : x
  2. Step 2: Convert to fraction form
    35,977.36/53,966.04 = 9,682.16/x
  3. Step 3: Cross multiply
    35,977.36x = 53,966.04 × 9,682.16
  4. Step 4: Simplify right side
    35,977.36x = 522,507,833.85
  5. Step 5: Solve for x
    x = 522,507,833.85/35,977.36
  6. Step 6: Final answer
    x = 14,523.24

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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.