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Finding the Fourth Proportional to 98,589, 136,052.82 and 53,877

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Solution

The fourth proportional to 98,589, 136,052.82 and 53,877 is: 74,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,589 : 136,052.82 = 53,877 : x
  2. Step 2: Convert to fraction form
    98,589/136,052.82 = 53,877/x
  3. Step 3: Cross multiply
    98,589x = 136,052.82 × 53,877
  4. Step 4: Simplify right side
    98,589x = 7,330,117,783.14
  5. Step 5: Solve for x
    x = 7,330,117,783.14/98,589
  6. Step 6: Final answer
    x = 74,350.26

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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.