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Finding the Fourth Proportional to 53,491.80, 80,213.40 and 23,894.40

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Solution

The fourth proportional to 53,491.80, 80,213.40 and 23,894.40 is: 35,830.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,491.80 : 80,213.40 = 23,894.40 : x
  2. Step 2: Convert to fraction form
    53,491.80/80,213.40 = 23,894.40/x
  3. Step 3: Cross multiply
    53,491.80x = 80,213.40 × 23,894.40
  4. Step 4: Simplify right side
    53,491.80x = 1,916,651,064.96
  5. Step 5: Solve for x
    x = 1,916,651,064.96/53,491.80
  6. Step 6: Final answer
    x = 35,830.75

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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.