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Finding the Fourth Proportional to 75,805.65, 104,654.57 and 52,564.05

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Solution

The fourth proportional to 75,805.65, 104,654.57 and 52,564.05 is: 72,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,805.65 : 104,654.57 = 52,564.05 : x
  2. Step 2: Convert to fraction form
    75,805.65/104,654.57 = 52,564.05/x
  3. Step 3: Cross multiply
    75,805.65x = 104,654.57 × 52,564.05
  4. Step 4: Simplify right side
    75,805.65x = 5,501,067,787.39
  5. Step 5: Solve for x
    x = 5,501,067,787.39/75,805.65
  6. Step 6: Final answer
    x = 72,568.04

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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.