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Finding the Fourth Proportional to 35,533.50, 53,241.94 and 12,147.18

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Solution

The fourth proportional to 35,533.50, 53,241.94 and 12,147.18 is: 18,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,533.50 : 53,241.94 = 12,147.18 : x
  2. Step 2: Convert to fraction form
    35,533.50/53,241.94 = 12,147.18/x
  3. Step 3: Cross multiply
    35,533.50x = 53,241.94 × 12,147.18
  4. Step 4: Simplify right side
    35,533.50x = 646,739,428.73
  5. Step 5: Solve for x
    x = 646,739,428.73/35,533.50
  6. Step 6: Final answer
    x = 18,200.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.