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Finding the Fourth Proportional to 31,041.50, 46,563.77 and 8,858.14

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Solution

The fourth proportional to 31,041.50, 46,563.77 and 8,858.14 is: 13,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.50 : 46,563.77 = 8,858.14 : x
  2. Step 2: Convert to fraction form
    31,041.50/46,563.77 = 8,858.14/x
  3. Step 3: Cross multiply
    31,041.50x = 46,563.77 × 8,858.14
  4. Step 4: Simplify right side
    31,041.50x = 412,468,299.32
  5. Step 5: Solve for x
    x = 412,468,299.32/31,041.50
  6. Step 6: Final answer
    x = 13,287.64

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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.