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Finding the Fourth Proportional to 39,744, 59,643.36 and 16,370.46

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Solution

The fourth proportional to 39,744, 59,643.36 and 16,370.46 is: 24,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744 : 59,643.36 = 16,370.46 : x
  2. Step 2: Convert to fraction form
    39,744/59,643.36 = 16,370.46/x
  3. Step 3: Cross multiply
    39,744x = 59,643.36 × 16,370.46
  4. Step 4: Simplify right side
    39,744x = 976,389,239.15
  5. Step 5: Solve for x
    x = 976,389,239.15/39,744
  6. Step 6: Final answer
    x = 24,566.96

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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.