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Finding the Fourth Proportional to 65,842, 98,763 and 16,594

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Solution

The fourth proportional to 65,842, 98,763 and 16,594 is: 24,891

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842 : 98,763 = 16,594 : x
  2. Step 2: Convert to fraction form
    65,842/98,763 = 16,594/x
  3. Step 3: Cross multiply
    65,842x = 98,763 × 16,594
  4. Step 4: Simplify right side
    65,842x = 1,638,873,222
  5. Step 5: Solve for x
    x = 1,638,873,222/65,842
  6. Step 6: Final answer
    x = 24,891

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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.