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Finding the Fourth Proportional to 65,257.53, 90,033.98 and 36,573

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Solution

The fourth proportional to 65,257.53, 90,033.98 and 36,573 is: 50,458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,257.53 : 90,033.98 = 36,573 : x
  2. Step 2: Convert to fraction form
    65,257.53/90,033.98 = 36,573/x
  3. Step 3: Cross multiply
    65,257.53x = 90,033.98 × 36,573
  4. Step 4: Simplify right side
    65,257.53x = 3,292,812,567.68
  5. Step 5: Solve for x
    x = 3,292,812,567.68/65,257.53
  6. Step 6: Final answer
    x = 50,458.74

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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.