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Finding the Fourth Proportional to 57,355.31, 86,028.71 and 24,074.03

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Solution

The fourth proportional to 57,355.31, 86,028.71 and 24,074.03 is: 36,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,355.31 : 86,028.71 = 24,074.03 : x
  2. Step 2: Convert to fraction form
    57,355.31/86,028.71 = 24,074.03/x
  3. Step 3: Cross multiply
    57,355.31x = 86,028.71 × 24,074.03
  4. Step 4: Simplify right side
    57,355.31x = 2,071,057,194.89
  5. Step 5: Solve for x
    x = 2,071,057,194.89/57,355.31
  6. Step 6: Final answer
    x = 36,109.25

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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.