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Finding the Fourth Proportional to 75,268.50, 112,902.81 and 19,112.82

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Solution

The fourth proportional to 75,268.50, 112,902.81 and 19,112.82 is: 28,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,268.50 : 112,902.81 = 19,112.82 : x
  2. Step 2: Convert to fraction form
    75,268.50/112,902.81 = 19,112.82/x
  3. Step 3: Cross multiply
    75,268.50x = 112,902.81 × 19,112.82
  4. Step 4: Simplify right side
    75,268.50x = 2,157,890,989.46
  5. Step 5: Solve for x
    x = 2,157,890,989.46/75,268.50
  6. Step 6: Final answer
    x = 28,669.24

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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.