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Finding the Fourth Proportional to 75,419.38, 104,120.31 and 51,581.08

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Solution

The fourth proportional to 75,419.38, 104,120.31 and 51,581.08 is: 71,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,419.38 : 104,120.31 = 51,581.08 : x
  2. Step 2: Convert to fraction form
    75,419.38/104,120.31 = 51,581.08/x
  3. Step 3: Cross multiply
    75,419.38x = 104,120.31 × 51,581.08
  4. Step 4: Simplify right side
    75,419.38x = 5,370,638,039.73
  5. Step 5: Solve for x
    x = 5,370,638,039.73/75,419.38
  6. Step 6: Final answer
    x = 71,210.32

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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.