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Finding the Fourth Proportional to 49,578, 68,421.30 and 30,718.80

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Solution

The fourth proportional to 49,578, 68,421.30 and 30,718.80 is: 42,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578 : 68,421.30 = 30,718.80 : x
  2. Step 2: Convert to fraction form
    49,578/68,421.30 = 30,718.80/x
  3. Step 3: Cross multiply
    49,578x = 68,421.30 × 30,718.80
  4. Step 4: Simplify right side
    49,578x = 2,101,820,230.44
  5. Step 5: Solve for x
    x = 2,101,820,230.44/49,578
  6. Step 6: Final answer
    x = 42,394.21

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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.