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Finding the Fourth Proportional to 75,689.74, 104,451.87 and 43,877.08

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Solution

The fourth proportional to 75,689.74, 104,451.87 and 43,877.08 is: 60,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,689.74 : 104,451.87 = 43,877.08 : x
  2. Step 2: Convert to fraction form
    75,689.74/104,451.87 = 43,877.08/x
  3. Step 3: Cross multiply
    75,689.74x = 104,451.87 × 43,877.08
  4. Step 4: Simplify right side
    75,689.74x = 4,583,043,056.14
  5. Step 5: Solve for x
    x = 4,583,043,056.14/75,689.74
  6. Step 6: Final answer
    x = 60,550.39

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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.