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Finding the Fourth Proportional to 49,398, 74,097.12 and 12,462

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Solution

The fourth proportional to 49,398, 74,097.12 and 12,462 is: 18,693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,398 : 74,097.12 = 12,462 : x
  2. Step 2: Convert to fraction form
    49,398/74,097.12 = 12,462/x
  3. Step 3: Cross multiply
    49,398x = 74,097.12 × 12,462
  4. Step 4: Simplify right side
    49,398x = 923,398,309.44
  5. Step 5: Solve for x
    x = 923,398,309.44/49,398
  6. Step 6: Final answer
    x = 18,693.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.