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Finding the Fourth Proportional to 38,505.70, 53,109.43 and 24,344.88

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Solution

The fourth proportional to 38,505.70, 53,109.43 and 24,344.88 is: 33,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505.70 : 53,109.43 = 24,344.88 : x
  2. Step 2: Convert to fraction form
    38,505.70/53,109.43 = 24,344.88/x
  3. Step 3: Cross multiply
    38,505.70x = 53,109.43 × 24,344.88
  4. Step 4: Simplify right side
    38,505.70x = 1,292,942,700.22
  5. Step 5: Solve for x
    x = 1,292,942,700.22/38,505.70
  6. Step 6: Final answer
    x = 33,577.96

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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.