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Finding the Fourth Proportional to 65,611, 98,416.50 and 16,363

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Solution

The fourth proportional to 65,611, 98,416.50 and 16,363 is: 24,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,611 : 98,416.50 = 16,363 : x
  2. Step 2: Convert to fraction form
    65,611/98,416.50 = 16,363/x
  3. Step 3: Cross multiply
    65,611x = 98,416.50 × 16,363
  4. Step 4: Simplify right side
    65,611x = 1,610,389,189.50
  5. Step 5: Solve for x
    x = 1,610,389,189.50/65,611
  6. Step 6: Final answer
    x = 24,544.50

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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.