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Finding the Fourth Proportional to 57,503.25, 86,265.77 and 20,074.01

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Solution

The fourth proportional to 57,503.25, 86,265.77 and 20,074.01 is: 30,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,503.25 : 86,265.77 = 20,074.01 : x
  2. Step 2: Convert to fraction form
    57,503.25/86,265.77 = 20,074.01/x
  3. Step 3: Cross multiply
    57,503.25x = 86,265.77 × 20,074.01
  4. Step 4: Simplify right side
    57,503.25x = 1,731,699,397.94
  5. Step 5: Solve for x
    x = 1,731,699,397.94/57,503.25
  6. Step 6: Final answer
    x = 30,114.81

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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.