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Finding the Fourth Proportional to 35,909, 53,864.46 and 12,216.50

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Solution

The fourth proportional to 35,909, 53,864.46 and 12,216.50 is: 18,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,909 : 53,864.46 = 12,216.50 : x
  2. Step 2: Convert to fraction form
    35,909/53,864.46 = 12,216.50/x
  3. Step 3: Cross multiply
    35,909x = 53,864.46 × 12,216.50
  4. Step 4: Simplify right side
    35,909x = 658,035,175.59
  5. Step 5: Solve for x
    x = 658,035,175.59/35,909
  6. Step 6: Final answer
    x = 18,325.08

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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.