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Finding the Fourth Proportional to 75,771.87, 104,566.01 and 41,780.45

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Solution

The fourth proportional to 75,771.87, 104,566.01 and 41,780.45 is: 57,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,771.87 : 104,566.01 = 41,780.45 : x
  2. Step 2: Convert to fraction form
    75,771.87/104,566.01 = 41,780.45/x
  3. Step 3: Cross multiply
    75,771.87x = 104,566.01 × 41,780.45
  4. Step 4: Simplify right side
    75,771.87x = 4,368,814,220.77
  5. Step 5: Solve for x
    x = 4,368,814,220.77/75,771.87
  6. Step 6: Final answer
    x = 57,657.47

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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.