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Finding the Fourth Proportional to 49,734, 74,601 and 14,673.15

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Solution

The fourth proportional to 49,734, 74,601 and 14,673.15 is: 22,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,734 : 74,601 = 14,673.15 : x
  2. Step 2: Convert to fraction form
    49,734/74,601 = 14,673.15/x
  3. Step 3: Cross multiply
    49,734x = 74,601 × 14,673.15
  4. Step 4: Simplify right side
    49,734x = 1,094,631,663.15
  5. Step 5: Solve for x
    x = 1,094,631,663.15/49,734
  6. Step 6: Final answer
    x = 22,009.73

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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.