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Finding the Fourth Proportional to 39,675.96, 59,522.10 and 13,023.96

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Solution

The fourth proportional to 39,675.96, 59,522.10 and 13,023.96 is: 19,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,675.96 : 59,522.10 = 13,023.96 : x
  2. Step 2: Convert to fraction form
    39,675.96/59,522.10 = 13,023.96/x
  3. Step 3: Cross multiply
    39,675.96x = 59,522.10 × 13,023.96
  4. Step 4: Simplify right side
    39,675.96x = 775,213,449.52
  5. Step 5: Solve for x
    x = 775,213,449.52/39,675.96
  6. Step 6: Final answer
    x = 19,538.62

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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.