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Finding the Fourth Proportional to 57,664.30, 86,304.45 and 41,824.30

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Solution

The fourth proportional to 57,664.30, 86,304.45 and 41,824.30 is: 62,597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664.30 : 86,304.45 = 41,824.30 : x
  2. Step 2: Convert to fraction form
    57,664.30/86,304.45 = 41,824.30/x
  3. Step 3: Cross multiply
    57,664.30x = 86,304.45 × 41,824.30
  4. Step 4: Simplify right side
    57,664.30x = 3,609,623,208.14
  5. Step 5: Solve for x
    x = 3,609,623,208.14/57,664.30
  6. Step 6: Final answer
    x = 62,597.19

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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.