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Finding the Fourth Proportional to 30,827.52, 46,241.04 and 16,028.80

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Solution

The fourth proportional to 30,827.52, 46,241.04 and 16,028.80 is: 24,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.52 : 46,241.04 = 16,028.80 : x
  2. Step 2: Convert to fraction form
    30,827.52/46,241.04 = 16,028.80/x
  3. Step 3: Cross multiply
    30,827.52x = 46,241.04 × 16,028.80
  4. Step 4: Simplify right side
    30,827.52x = 741,188,381.95
  5. Step 5: Solve for x
    x = 741,188,381.95/30,827.52
  6. Step 6: Final answer
    x = 24,043.08

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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.