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Finding the Fourth Proportional to 75,689.74, 104,446.83 and 43,852.96

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Solution

The fourth proportional to 75,689.74, 104,446.83 and 43,852.96 is: 60,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,689.74 : 104,446.83 = 43,852.96 : x
  2. Step 2: Convert to fraction form
    75,689.74/104,446.83 = 43,852.96/x
  3. Step 3: Cross multiply
    75,689.74x = 104,446.83 × 43,852.96
  4. Step 4: Simplify right side
    75,689.74x = 4,580,302,658.12
  5. Step 5: Solve for x
    x = 4,580,302,658.12/75,689.74
  6. Step 6: Final answer
    x = 60,514.18

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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.