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Finding the Fourth Proportional to 52,572.51, 78,839.37 and 41,349.78

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Solution

The fourth proportional to 52,572.51, 78,839.37 and 41,349.78 is: 62,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,572.51 : 78,839.37 = 41,349.78 : x
  2. Step 2: Convert to fraction form
    52,572.51/78,839.37 = 41,349.78/x
  3. Step 3: Cross multiply
    52,572.51x = 78,839.37 × 41,349.78
  4. Step 4: Simplify right side
    52,572.51x = 3,259,990,604.84
  5. Step 5: Solve for x
    x = 3,259,990,604.84/52,572.51
  6. Step 6: Final answer
    x = 62,009.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.