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Finding the Fourth Proportional to 12,053.50, 18,078.42 and 3,289.10

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Solution

The fourth proportional to 12,053.50, 18,078.42 and 3,289.10 is: 4,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.50 : 18,078.42 = 3,289.10 : x
  2. Step 2: Convert to fraction form
    12,053.50/18,078.42 = 3,289.10/x
  3. Step 3: Cross multiply
    12,053.50x = 18,078.42 × 3,289.10
  4. Step 4: Simplify right side
    12,053.50x = 59,461,731.22
  5. Step 5: Solve for x
    x = 59,461,731.22/12,053.50
  6. Step 6: Final answer
    x = 4,933.15

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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.