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Finding the Fourth Proportional to 49,476, 68,277.12 and 29,604

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Solution

The fourth proportional to 49,476, 68,277.12 and 29,604 is: 40,853.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,476 : 68,277.12 = 29,604 : x
  2. Step 2: Convert to fraction form
    49,476/68,277.12 = 29,604/x
  3. Step 3: Cross multiply
    49,476x = 68,277.12 × 29,604
  4. Step 4: Simplify right side
    49,476x = 2,021,275,860.48
  5. Step 5: Solve for x
    x = 2,021,275,860.48/49,476
  6. Step 6: Final answer
    x = 40,853.66

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Why These Related Problems?

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