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Finding the Fourth Proportional to 98,741, 136,262.67 and 54,029

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Solution

The fourth proportional to 98,741, 136,262.67 and 54,029 is: 74,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,741 : 136,262.67 = 54,029 : x
  2. Step 2: Convert to fraction form
    98,741/136,262.67 = 54,029/x
  3. Step 3: Cross multiply
    98,741x = 136,262.67 × 54,029
  4. Step 4: Simplify right side
    98,741x = 7,362,135,797.43
  5. Step 5: Solve for x
    x = 7,362,135,797.43/98,741
  6. Step 6: Final answer
    x = 74,560.07

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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.