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Finding the Fourth Proportional to 38,298.96, 52,857.45 and 23,191.65

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Solution

The fourth proportional to 38,298.96, 52,857.45 and 23,191.65 is: 32,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298.96 : 52,857.45 = 23,191.65 : x
  2. Step 2: Convert to fraction form
    38,298.96/52,857.45 = 23,191.65/x
  3. Step 3: Cross multiply
    38,298.96x = 52,857.45 × 23,191.65
  4. Step 4: Simplify right side
    38,298.96x = 1,225,851,480.29
  5. Step 5: Solve for x
    x = 1,225,851,480.29/38,298.96
  6. Step 6: Final answer
    x = 32,007.44

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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.