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Finding the Fourth Proportional to 82,685, 124,027.50 and 24,317

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Solution

The fourth proportional to 82,685, 124,027.50 and 24,317 is: 36,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,685 : 124,027.50 = 24,317 : x
  2. Step 2: Convert to fraction form
    82,685/124,027.50 = 24,317/x
  3. Step 3: Cross multiply
    82,685x = 124,027.50 × 24,317
  4. Step 4: Simplify right side
    82,685x = 3,015,976,717.50
  5. Step 5: Solve for x
    x = 3,015,976,717.50/82,685
  6. Step 6: Final answer
    x = 36,475.50

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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.