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Finding the Fourth Proportional to 31,028.64, 46,563.82 and 30,914.48

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Solution

The fourth proportional to 31,028.64, 46,563.82 and 30,914.48 is: 46,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.64 : 46,563.82 = 30,914.48 : x
  2. Step 2: Convert to fraction form
    31,028.64/46,563.82 = 30,914.48/x
  3. Step 3: Cross multiply
    31,028.64x = 46,563.82 × 30,914.48
  4. Step 4: Simplify right side
    31,028.64x = 1,439,496,282.11
  5. Step 5: Solve for x
    x = 1,439,496,282.11/31,028.64
  6. Step 6: Final answer
    x = 46,392.50

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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.