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Finding the Fourth Proportional to 82,672, 124,008 and 24,304

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Solution

The fourth proportional to 82,672, 124,008 and 24,304 is: 36,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,672 : 124,008 = 24,304 : x
  2. Step 2: Convert to fraction form
    82,672/124,008 = 24,304/x
  3. Step 3: Cross multiply
    82,672x = 124,008 × 24,304
  4. Step 4: Simplify right side
    82,672x = 3,013,890,432
  5. Step 5: Solve for x
    x = 3,013,890,432/82,672
  6. Step 6: Final answer
    x = 36,456

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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.