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Finding the Fourth Proportional to 52,706.05, 72,755.99 and 35,733.54

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Solution

The fourth proportional to 52,706.05, 72,755.99 and 35,733.54 is: 49,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706.05 : 72,755.99 = 35,733.54 : x
  2. Step 2: Convert to fraction form
    52,706.05/72,755.99 = 35,733.54/x
  3. Step 3: Cross multiply
    52,706.05x = 72,755.99 × 35,733.54
  4. Step 4: Simplify right side
    52,706.05x = 2,599,829,078.90
  5. Step 5: Solve for x
    x = 2,599,829,078.90/52,706.05
  6. Step 6: Final answer
    x = 49,326.96

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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.