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Finding the Fourth Proportional to 54,998.56, 75,898.93 and 29,848.06

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Solution

The fourth proportional to 54,998.56, 75,898.93 and 29,848.06 is: 41,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,998.56 : 75,898.93 = 29,848.06 : x
  2. Step 2: Convert to fraction form
    54,998.56/75,898.93 = 29,848.06/x
  3. Step 3: Cross multiply
    54,998.56x = 75,898.93 × 29,848.06
  4. Step 4: Simplify right side
    54,998.56x = 2,265,435,816.58
  5. Step 5: Solve for x
    x = 2,265,435,816.58/54,998.56
  6. Step 6: Final answer
    x = 41,190.82

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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.