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Finding the Fourth Proportional to 38,281.94, 52,816.41 and 23,168.87

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Solution

The fourth proportional to 38,281.94, 52,816.41 and 23,168.87 is: 31,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,281.94 : 52,816.41 = 23,168.87 : x
  2. Step 2: Convert to fraction form
    38,281.94/52,816.41 = 23,168.87/x
  3. Step 3: Cross multiply
    38,281.94x = 52,816.41 × 23,168.87
  4. Step 4: Simplify right side
    38,281.94x = 1,223,696,273.07
  5. Step 5: Solve for x
    x = 1,223,696,273.07/38,281.94
  6. Step 6: Final answer
    x = 31,965.37

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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.