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Finding the Fourth Proportional to 49,305, 68,041.98 and 26,949

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Solution

The fourth proportional to 49,305, 68,041.98 and 26,949 is: 37,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,305 : 68,041.98 = 26,949 : x
  2. Step 2: Convert to fraction form
    49,305/68,041.98 = 26,949/x
  3. Step 3: Cross multiply
    49,305x = 68,041.98 × 26,949
  4. Step 4: Simplify right side
    49,305x = 1,833,663,319.02
  5. Step 5: Solve for x
    x = 1,833,663,319.02/49,305
  6. Step 6: Final answer
    x = 37,190.21

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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.