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Finding the Fourth Proportional to 39,865, 59,797.50 and 16,492

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Solution

The fourth proportional to 39,865, 59,797.50 and 16,492 is: 24,738

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,865 : 59,797.50 = 16,492 : x
  2. Step 2: Convert to fraction form
    39,865/59,797.50 = 16,492/x
  3. Step 3: Cross multiply
    39,865x = 59,797.50 × 16,492
  4. Step 4: Simplify right side
    39,865x = 986,180,370
  5. Step 5: Solve for x
    x = 986,180,370/39,865
  6. Step 6: Final answer
    x = 24,738

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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.