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Finding the Fourth Proportional to 65,473, 98,209.50 and 16,225

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Solution

The fourth proportional to 65,473, 98,209.50 and 16,225 is: 24,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,473 : 98,209.50 = 16,225 : x
  2. Step 2: Convert to fraction form
    65,473/98,209.50 = 16,225/x
  3. Step 3: Cross multiply
    65,473x = 98,209.50 × 16,225
  4. Step 4: Simplify right side
    65,473x = 1,593,449,137.50
  5. Step 5: Solve for x
    x = 1,593,449,137.50/65,473
  6. Step 6: Final answer
    x = 24,337.50

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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.