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Finding the Fourth Proportional to 38,135.84, 52,614.82 and 23,022.72

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Solution

The fourth proportional to 38,135.84, 52,614.82 and 23,022.72 is: 31,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,135.84 : 52,614.82 = 23,022.72 : x
  2. Step 2: Convert to fraction form
    38,135.84/52,614.82 = 23,022.72/x
  3. Step 3: Cross multiply
    38,135.84x = 52,614.82 × 23,022.72
  4. Step 4: Simplify right side
    38,135.84x = 1,211,336,268.71
  5. Step 5: Solve for x
    x = 1,211,336,268.71/38,135.84
  6. Step 6: Final answer
    x = 31,763.72

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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.