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Finding the Fourth Proportional to 35,305.64, 52,964.98 and 11,614.50

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Solution

The fourth proportional to 35,305.64, 52,964.98 and 11,614.50 is: 17,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,305.64 : 52,964.98 = 11,614.50 : x
  2. Step 2: Convert to fraction form
    35,305.64/52,964.98 = 11,614.50/x
  3. Step 3: Cross multiply
    35,305.64x = 52,964.98 × 11,614.50
  4. Step 4: Simplify right side
    35,305.64x = 615,161,760.21
  5. Step 5: Solve for x
    x = 615,161,760.21/35,305.64
  6. Step 6: Final answer
    x = 17,423.89

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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.