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Finding the Fourth Proportional to 65,500, 98,250.16 and 16,252

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Solution

The fourth proportional to 65,500, 98,250.16 and 16,252 is: 24,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,500 : 98,250.16 = 16,252 : x
  2. Step 2: Convert to fraction form
    65,500/98,250.16 = 16,252/x
  3. Step 3: Cross multiply
    65,500x = 98,250.16 × 16,252
  4. Step 4: Simplify right side
    65,500x = 1,596,761,600.32
  5. Step 5: Solve for x
    x = 1,596,761,600.32/65,500
  6. Step 6: Final answer
    x = 24,378.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.