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Finding the Fourth Proportional to 65,354, 98,031 and 16,106

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Solution

The fourth proportional to 65,354, 98,031 and 16,106 is: 24,159

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354 : 98,031 = 16,106 : x
  2. Step 2: Convert to fraction form
    65,354/98,031 = 16,106/x
  3. Step 3: Cross multiply
    65,354x = 98,031 × 16,106
  4. Step 4: Simplify right side
    65,354x = 1,578,887,286
  5. Step 5: Solve for x
    x = 1,578,887,286/65,354
  6. Step 6: Final answer
    x = 24,159

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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.