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Finding the Fourth Proportional to 38,972.80, 53,794.24 and 33,724

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Solution

The fourth proportional to 38,972.80, 53,794.24 and 33,724 is: 46,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972.80 : 53,794.24 = 33,724 : x
  2. Step 2: Convert to fraction form
    38,972.80/53,794.24 = 33,724/x
  3. Step 3: Cross multiply
    38,972.80x = 53,794.24 × 33,724
  4. Step 4: Simplify right side
    38,972.80x = 1,814,156,949.76
  5. Step 5: Solve for x
    x = 1,814,156,949.76/38,972.80
  6. Step 6: Final answer
    x = 46,549.31

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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.