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Finding the Fourth Proportional to 38,827.09, 53,564.52 and 24,672.34

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Solution

The fourth proportional to 38,827.09, 53,564.52 and 24,672.34 is: 34,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,827.09 : 53,564.52 = 24,672.34 : x
  2. Step 2: Convert to fraction form
    38,827.09/53,564.52 = 24,672.34/x
  3. Step 3: Cross multiply
    38,827.09x = 53,564.52 × 24,672.34
  4. Step 4: Simplify right side
    38,827.09x = 1,321,562,049.38
  5. Step 5: Solve for x
    x = 1,321,562,049.38/38,827.09
  6. Step 6: Final answer
    x = 34,037.11

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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.