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Finding the Fourth Proportional to 30,822.32, 42,534.90 and 16,675.28

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Solution

The fourth proportional to 30,822.32, 42,534.90 and 16,675.28 is: 23,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.32 : 42,534.90 = 16,675.28 : x
  2. Step 2: Convert to fraction form
    30,822.32/42,534.90 = 16,675.28/x
  3. Step 3: Cross multiply
    30,822.32x = 42,534.90 × 16,675.28
  4. Step 4: Simplify right side
    30,822.32x = 709,281,367.27
  5. Step 5: Solve for x
    x = 709,281,367.27/30,822.32
  6. Step 6: Final answer
    x = 23,011.94

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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.