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Finding the Fourth Proportional to 65,362, 98,043 and 16,114

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Solution

The fourth proportional to 65,362, 98,043 and 16,114 is: 24,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,362 : 98,043 = 16,114 : x
  2. Step 2: Convert to fraction form
    65,362/98,043 = 16,114/x
  3. Step 3: Cross multiply
    65,362x = 98,043 × 16,114
  4. Step 4: Simplify right side
    65,362x = 1,579,864,902
  5. Step 5: Solve for x
    x = 1,579,864,902/65,362
  6. Step 6: Final answer
    x = 24,171

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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.