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Finding the Fourth Proportional to 38,513.30, 53,174.46 and 24,934.10

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Solution

The fourth proportional to 38,513.30, 53,174.46 and 24,934.10 is: 34,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.30 : 53,174.46 = 24,934.10 : x
  2. Step 2: Convert to fraction form
    38,513.30/53,174.46 = 24,934.10/x
  3. Step 3: Cross multiply
    38,513.30x = 53,174.46 × 24,934.10
  4. Step 4: Simplify right side
    38,513.30x = 1,325,857,303.09
  5. Step 5: Solve for x
    x = 1,325,857,303.09/38,513.30
  6. Step 6: Final answer
    x = 34,425.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.