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Finding the Fourth Proportional to 82,676, 124,014 and 24,308

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Solution

The fourth proportional to 82,676, 124,014 and 24,308 is: 36,462

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,676 : 124,014 = 24,308 : x
  2. Step 2: Convert to fraction form
    82,676/124,014 = 24,308/x
  3. Step 3: Cross multiply
    82,676x = 124,014 × 24,308
  4. Step 4: Simplify right side
    82,676x = 3,014,532,312
  5. Step 5: Solve for x
    x = 3,014,532,312/82,676
  6. Step 6: Final answer
    x = 36,462

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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.