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Finding the Fourth Proportional to 52,512.94, 72,446.43 and 32,084.38

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Solution

The fourth proportional to 52,512.94, 72,446.43 and 32,084.38 is: 44,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,512.94 : 72,446.43 = 32,084.38 : x
  2. Step 2: Convert to fraction form
    52,512.94/72,446.43 = 32,084.38/x
  3. Step 3: Cross multiply
    52,512.94x = 72,446.43 × 32,084.38
  4. Step 4: Simplify right side
    52,512.94x = 2,324,398,789.76
  5. Step 5: Solve for x
    x = 2,324,398,789.76/52,512.94
  6. Step 6: Final answer
    x = 44,263.35

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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.