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Finding the Fourth Proportional to 75,854.42, 104,685.03 and 41,869.65

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Solution

The fourth proportional to 75,854.42, 104,685.03 and 41,869.65 is: 57,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,854.42 : 104,685.03 = 41,869.65 : x
  2. Step 2: Convert to fraction form
    75,854.42/104,685.03 = 41,869.65/x
  3. Step 3: Cross multiply
    75,854.42x = 104,685.03 × 41,869.65
  4. Step 4: Simplify right side
    75,854.42x = 4,383,125,566.34
  5. Step 5: Solve for x
    x = 4,383,125,566.34/75,854.42
  6. Step 6: Final answer
    x = 57,783.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.