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Finding the Fourth Proportional to 82,679, 124,018.50 and 24,311

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Solution

The fourth proportional to 82,679, 124,018.50 and 24,311 is: 36,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,679 : 124,018.50 = 24,311 : x
  2. Step 2: Convert to fraction form
    82,679/124,018.50 = 24,311/x
  3. Step 3: Cross multiply
    82,679x = 124,018.50 × 24,311
  4. Step 4: Simplify right side
    82,679x = 3,015,013,753.50
  5. Step 5: Solve for x
    x = 3,015,013,753.50/82,679
  6. Step 6: Final answer
    x = 36,466.50

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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.