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Finding the Fourth Proportional to 39,778.16, 59,679.08 and 16,406

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Solution

The fourth proportional to 39,778.16, 59,679.08 and 16,406 is: 24,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,778.16 : 59,679.08 = 16,406 : x
  2. Step 2: Convert to fraction form
    39,778.16/59,679.08 = 16,406/x
  3. Step 3: Cross multiply
    39,778.16x = 59,679.08 × 16,406
  4. Step 4: Simplify right side
    39,778.16x = 979,094,986.48
  5. Step 5: Solve for x
    x = 979,094,986.48/39,778.16
  6. Step 6: Final answer
    x = 24,613.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.