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Finding the Fourth Proportional to 52,894.82, 72,989.44 and 31,673.54

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Solution

The fourth proportional to 52,894.82, 72,989.44 and 31,673.54 is: 43,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894.82 : 72,989.44 = 31,673.54 : x
  2. Step 2: Convert to fraction form
    52,894.82/72,989.44 = 31,673.54/x
  3. Step 3: Cross multiply
    52,894.82x = 72,989.44 × 31,673.54
  4. Step 4: Simplify right side
    52,894.82x = 2,311,833,503.29
  5. Step 5: Solve for x
    x = 2,311,833,503.29/52,894.82
  6. Step 6: Final answer
    x = 43,706.24

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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.