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Finding the Fourth Proportional to 30,786.80, 42,485.52 and 16,639.52

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Solution

The fourth proportional to 30,786.80, 42,485.52 and 16,639.52 is: 22,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.80 : 42,485.52 = 16,639.52 : x
  2. Step 2: Convert to fraction form
    30,786.80/42,485.52 = 16,639.52/x
  3. Step 3: Cross multiply
    30,786.80x = 42,485.52 × 16,639.52
  4. Step 4: Simplify right side
    30,786.80x = 706,938,659.75
  5. Step 5: Solve for x
    x = 706,938,659.75/30,786.80
  6. Step 6: Final answer
    x = 22,962.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.