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Finding the Fourth Proportional to 38,513.72, 53,120.50 and 24,352.84

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Solution

The fourth proportional to 38,513.72, 53,120.50 and 24,352.84 is: 33,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.72 : 53,120.50 = 24,352.84 : x
  2. Step 2: Convert to fraction form
    38,513.72/53,120.50 = 24,352.84/x
  3. Step 3: Cross multiply
    38,513.72x = 53,120.50 × 24,352.84
  4. Step 4: Simplify right side
    38,513.72x = 1,293,635,037.22
  5. Step 5: Solve for x
    x = 1,293,635,037.22/38,513.72
  6. Step 6: Final answer
    x = 33,588.94

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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.