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Finding the Fourth Proportional to 30,822.44, 42,535.06 and 16,675.31

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Solution

The fourth proportional to 30,822.44, 42,535.06 and 16,675.31 is: 23,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.44 : 42,535.06 = 16,675.31 : x
  2. Step 2: Convert to fraction form
    30,822.44/42,535.06 = 16,675.31/x
  3. Step 3: Cross multiply
    30,822.44x = 42,535.06 × 16,675.31
  4. Step 4: Simplify right side
    30,822.44x = 709,285,376.02
  5. Step 5: Solve for x
    x = 709,285,376.02/30,822.44
  6. Step 6: Final answer
    x = 23,011.98

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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.