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Finding the Fourth Proportional to 57,065.50, 85,637.13 and 20,129.50

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Solution

The fourth proportional to 57,065.50, 85,637.13 and 20,129.50 is: 30,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,065.50 : 85,637.13 = 20,129.50 : x
  2. Step 2: Convert to fraction form
    57,065.50/85,637.13 = 20,129.50/x
  3. Step 3: Cross multiply
    57,065.50x = 85,637.13 × 20,129.50
  4. Step 4: Simplify right side
    57,065.50x = 1,723,832,608.34
  5. Step 5: Solve for x
    x = 1,723,832,608.34/57,065.50
  6. Step 6: Final answer
    x = 30,207.96

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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.