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Finding the Fourth Proportional to 75,705.48, 104,491.62 and 43,891.92

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Solution

The fourth proportional to 75,705.48, 104,491.62 and 43,891.92 is: 60,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,705.48 : 104,491.62 = 43,891.92 : x
  2. Step 2: Convert to fraction form
    75,705.48/104,491.62 = 43,891.92/x
  3. Step 3: Cross multiply
    75,705.48x = 104,491.62 × 43,891.92
  4. Step 4: Simplify right side
    75,705.48x = 4,586,337,825.71
  5. Step 5: Solve for x
    x = 4,586,337,825.71/75,705.48
  6. Step 6: Final answer
    x = 60,581.32

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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.