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Finding the Fourth Proportional to 30,554.20, 42,107.72 and 23,829.20

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Solution

The fourth proportional to 30,554.20, 42,107.72 and 23,829.20 is: 32,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,554.20 : 42,107.72 = 23,829.20 : x
  2. Step 2: Convert to fraction form
    30,554.20/42,107.72 = 23,829.20/x
  3. Step 3: Cross multiply
    30,554.20x = 42,107.72 × 23,829.20
  4. Step 4: Simplify right side
    30,554.20x = 1,003,393,281.42
  5. Step 5: Solve for x
    x = 1,003,393,281.42/30,554.20
  6. Step 6: Final answer
    x = 32,839.78

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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.