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Finding the Fourth Proportional to 53,522.34, 80,280.43 and 16,081.62

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Solution

The fourth proportional to 53,522.34, 80,280.43 and 16,081.62 is: 24,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,522.34 : 80,280.43 = 16,081.62 : x
  2. Step 2: Convert to fraction form
    53,522.34/80,280.43 = 16,081.62/x
  3. Step 3: Cross multiply
    53,522.34x = 80,280.43 × 16,081.62
  4. Step 4: Simplify right side
    53,522.34x = 1,291,039,328.49
  5. Step 5: Solve for x
    x = 1,291,039,328.49/53,522.34
  6. Step 6: Final answer
    x = 24,121.50

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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.