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Finding the Fourth Proportional to 54,703.76, 82,055.63 and 42,241.96

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Solution

The fourth proportional to 54,703.76, 82,055.63 and 42,241.96 is: 63,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,703.76 : 82,055.63 = 42,241.96 : x
  2. Step 2: Convert to fraction form
    54,703.76/82,055.63 = 42,241.96/x
  3. Step 3: Cross multiply
    54,703.76x = 82,055.63 × 42,241.96
  4. Step 4: Simplify right side
    54,703.76x = 3,466,190,540.70
  5. Step 5: Solve for x
    x = 3,466,190,540.70/54,703.76
  6. Step 6: Final answer
    x = 63,362.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.