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Finding the Fourth Proportional to 57,673.04, 86,529 and 57,284.24

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Solution

The fourth proportional to 57,673.04, 86,529 and 57,284.24 is: 85,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,673.04 : 86,529 = 57,284.24 : x
  2. Step 2: Convert to fraction form
    57,673.04/86,529 = 57,284.24/x
  3. Step 3: Cross multiply
    57,673.04x = 86,529 × 57,284.24
  4. Step 4: Simplify right side
    57,673.04x = 4,956,748,002.96
  5. Step 5: Solve for x
    x = 4,956,748,002.96/57,673.04
  6. Step 6: Final answer
    x = 85,945.67

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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.