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Finding the Fourth Proportional to 54,998.68, 75,898.14 and 29,848.12

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Solution

The fourth proportional to 54,998.68, 75,898.14 and 29,848.12 is: 41,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,998.68 : 75,898.14 = 29,848.12 : x
  2. Step 2: Convert to fraction form
    54,998.68/75,898.14 = 29,848.12/x
  3. Step 3: Cross multiply
    54,998.68x = 75,898.14 × 29,848.12
  4. Step 4: Simplify right side
    54,998.68x = 2,265,416,790.50
  5. Step 5: Solve for x
    x = 2,265,416,790.50/54,998.68
  6. Step 6: Final answer
    x = 41,190.38

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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.