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Finding the Fourth Proportional to 39,776.16, 59,676.08 and 16,404

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Solution

The fourth proportional to 39,776.16, 59,676.08 and 16,404 is: 24,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,776.16 : 59,676.08 = 16,404 : x
  2. Step 2: Convert to fraction form
    39,776.16/59,676.08 = 16,404/x
  3. Step 3: Cross multiply
    39,776.16x = 59,676.08 × 16,404
  4. Step 4: Simplify right side
    39,776.16x = 978,926,416.32
  5. Step 5: Solve for x
    x = 978,926,416.32/39,776.16
  6. Step 6: Final answer
    x = 24,610.88

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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.