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Finding the Fourth Proportional to 57,059.75, 85,568.63 and 19,609.19

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Solution

The fourth proportional to 57,059.75, 85,568.63 and 19,609.19 is: 29,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,059.75 : 85,568.63 = 19,609.19 : x
  2. Step 2: Convert to fraction form
    57,059.75/85,568.63 = 19,609.19/x
  3. Step 3: Cross multiply
    57,059.75x = 85,568.63 × 19,609.19
  4. Step 4: Simplify right side
    57,059.75x = 1,677,931,523.71
  5. Step 5: Solve for x
    x = 1,677,931,523.71/57,059.75
  6. Step 6: Final answer
    x = 29,406.57

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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.