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Finding the Fourth Proportional to 65,092.50, 89,827.66 and 35,284.50

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Solution

The fourth proportional to 65,092.50, 89,827.66 and 35,284.50 is: 48,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.50 : 89,827.66 = 35,284.50 : x
  2. Step 2: Convert to fraction form
    65,092.50/89,827.66 = 35,284.50/x
  3. Step 3: Cross multiply
    65,092.50x = 89,827.66 × 35,284.50
  4. Step 4: Simplify right side
    65,092.50x = 3,169,524,069.27
  5. Step 5: Solve for x
    x = 3,169,524,069.27/65,092.50
  6. Step 6: Final answer
    x = 48,692.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.