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Finding the Fourth Proportional to 65,529, 98,293.50 and 16,281

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Solution

The fourth proportional to 65,529, 98,293.50 and 16,281 is: 24,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,529 : 98,293.50 = 16,281 : x
  2. Step 2: Convert to fraction form
    65,529/98,293.50 = 16,281/x
  3. Step 3: Cross multiply
    65,529x = 98,293.50 × 16,281
  4. Step 4: Simplify right side
    65,529x = 1,600,316,473.50
  5. Step 5: Solve for x
    x = 1,600,316,473.50/65,529
  6. Step 6: Final answer
    x = 24,421.50

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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.