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Finding the Fourth Proportional to 82,682, 124,023 and 24,314

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Solution

The fourth proportional to 82,682, 124,023 and 24,314 is: 36,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,682 : 124,023 = 24,314 : x
  2. Step 2: Convert to fraction form
    82,682/124,023 = 24,314/x
  3. Step 3: Cross multiply
    82,682x = 124,023 × 24,314
  4. Step 4: Simplify right side
    82,682x = 3,015,495,222
  5. Step 5: Solve for x
    x = 3,015,495,222/82,682
  6. Step 6: Final answer
    x = 36,471

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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.