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Finding the Fourth Proportional to 18,029.21, 27,040.73 and 4,878.50

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Solution

The fourth proportional to 18,029.21, 27,040.73 and 4,878.50 is: 7,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,029.21 : 27,040.73 = 4,878.50 : x
  2. Step 2: Convert to fraction form
    18,029.21/27,040.73 = 4,878.50/x
  3. Step 3: Cross multiply
    18,029.21x = 27,040.73 × 4,878.50
  4. Step 4: Simplify right side
    18,029.21x = 131,918,041.71
  5. Step 5: Solve for x
    x = 131,918,041.71/18,029.21
  6. Step 6: Final answer
    x = 7,316.91

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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.