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Finding the Fourth Proportional to 65,554, 98,331.36 and 16,306

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Solution

The fourth proportional to 65,554, 98,331.36 and 16,306 is: 24,459.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,554 : 98,331.36 = 16,306 : x
  2. Step 2: Convert to fraction form
    65,554/98,331.36 = 16,306/x
  3. Step 3: Cross multiply
    65,554x = 98,331.36 × 16,306
  4. Step 4: Simplify right side
    65,554x = 1,603,391,156.16
  5. Step 5: Solve for x
    x = 1,603,391,156.16/65,554
  6. Step 6: Final answer
    x = 24,459.09

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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.