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Finding the Fourth Proportional to 39,584, 59,401.92 and 14,960

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Solution

The fourth proportional to 39,584, 59,401.92 and 14,960 is: 22,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584 : 59,401.92 = 14,960 : x
  2. Step 2: Convert to fraction form
    39,584/59,401.92 = 14,960/x
  3. Step 3: Cross multiply
    39,584x = 59,401.92 × 14,960
  4. Step 4: Simplify right side
    39,584x = 888,652,723.20
  5. Step 5: Solve for x
    x = 888,652,723.20/39,584
  6. Step 6: Final answer
    x = 22,449.80

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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.