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Finding the Fourth Proportional to 30,822.72, 42,535.36 and 16,675.52

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Solution

The fourth proportional to 30,822.72, 42,535.36 and 16,675.52 is: 23,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.72 : 42,535.36 = 16,675.52 : x
  2. Step 2: Convert to fraction form
    30,822.72/42,535.36 = 16,675.52/x
  3. Step 3: Cross multiply
    30,822.72x = 42,535.36 × 16,675.52
  4. Step 4: Simplify right side
    30,822.72x = 709,299,246.39
  5. Step 5: Solve for x
    x = 709,299,246.39/30,822.72
  6. Step 6: Final answer
    x = 23,012.22

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