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Finding the Fourth Proportional to 39,542, 59,313.06 and 16,168.40

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Solution

The fourth proportional to 39,542, 59,313.06 and 16,168.40 is: 24,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,542 : 59,313.06 = 16,168.40 : x
  2. Step 2: Convert to fraction form
    39,542/59,313.06 = 16,168.40/x
  3. Step 3: Cross multiply
    39,542x = 59,313.06 × 16,168.40
  4. Step 4: Simplify right side
    39,542x = 958,997,279.30
  5. Step 5: Solve for x
    x = 958,997,279.30/39,542
  6. Step 6: Final answer
    x = 24,252.62

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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.