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Finding the Fourth Proportional to 39,406.92, 59,059.04 and 16,006

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Solution

The fourth proportional to 39,406.92, 59,059.04 and 16,006 is: 23,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,406.92 : 59,059.04 = 16,006 : x
  2. Step 2: Convert to fraction form
    39,406.92/59,059.04 = 16,006/x
  3. Step 3: Cross multiply
    39,406.92x = 59,059.04 × 16,006
  4. Step 4: Simplify right side
    39,406.92x = 945,298,994.24
  5. Step 5: Solve for x
    x = 945,298,994.24/39,406.92
  6. Step 6: Final answer
    x = 23,988.15

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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.