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Finding the Fourth Proportional to 38,744.84, 53,467.38 and 22,829.96

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Solution

The fourth proportional to 38,744.84, 53,467.38 and 22,829.96 is: 31,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744.84 : 53,467.38 = 22,829.96 : x
  2. Step 2: Convert to fraction form
    38,744.84/53,467.38 = 22,829.96/x
  3. Step 3: Cross multiply
    38,744.84x = 53,467.38 × 22,829.96
  4. Step 4: Simplify right side
    38,744.84x = 1,220,658,146.70
  5. Step 5: Solve for x
    x = 1,220,658,146.70/38,744.84
  6. Step 6: Final answer
    x = 31,505.05

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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.