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Finding the Fourth Proportional to 39,049.57, 58,574.34 and 15,676

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Solution

The fourth proportional to 39,049.57, 58,574.34 and 15,676 is: 23,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,049.57 : 58,574.34 = 15,676 : x
  2. Step 2: Convert to fraction form
    39,049.57/58,574.34 = 15,676/x
  3. Step 3: Cross multiply
    39,049.57x = 58,574.34 × 15,676
  4. Step 4: Simplify right side
    39,049.57x = 918,211,353.84
  5. Step 5: Solve for x
    x = 918,211,353.84/39,049.57
  6. Step 6: Final answer
    x = 23,513.99

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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.