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Finding the Fourth Proportional to 57,302.80, 85,944.26 and 15,740.08

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Solution

The fourth proportional to 57,302.80, 85,944.26 and 15,740.08 is: 23,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,302.80 : 85,944.26 = 15,740.08 : x
  2. Step 2: Convert to fraction form
    57,302.80/85,944.26 = 15,740.08/x
  3. Step 3: Cross multiply
    57,302.80x = 85,944.26 × 15,740.08
  4. Step 4: Simplify right side
    57,302.80x = 1,352,769,527.94
  5. Step 5: Solve for x
    x = 1,352,769,527.94/57,302.80
  6. Step 6: Final answer
    x = 23,607.39

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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.