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Finding the Fourth Proportional to 30,842.46, 42,520.25 and 19,506.30

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Solution

The fourth proportional to 30,842.46, 42,520.25 and 19,506.30 is: 26,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.46 : 42,520.25 = 19,506.30 : x
  2. Step 2: Convert to fraction form
    30,842.46/42,520.25 = 19,506.30/x
  3. Step 3: Cross multiply
    30,842.46x = 42,520.25 × 19,506.30
  4. Step 4: Simplify right side
    30,842.46x = 829,412,752.58
  5. Step 5: Solve for x
    x = 829,412,752.58/30,842.46
  6. Step 6: Final answer
    x = 26,891.91

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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.