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Finding the Fourth Proportional to 65,668, 98,502 and 16,420

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Solution

The fourth proportional to 65,668, 98,502 and 16,420 is: 24,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,668 : 98,502 = 16,420 : x
  2. Step 2: Convert to fraction form
    65,668/98,502 = 16,420/x
  3. Step 3: Cross multiply
    65,668x = 98,502 × 16,420
  4. Step 4: Simplify right side
    65,668x = 1,617,402,840
  5. Step 5: Solve for x
    x = 1,617,402,840/65,668
  6. Step 6: Final answer
    x = 24,630

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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.