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Finding the Fourth Proportional to 55,755.80, 76,943.57 and 30,262.38

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Solution

The fourth proportional to 55,755.80, 76,943.57 and 30,262.38 is: 41,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,755.80 : 76,943.57 = 30,262.38 : x
  2. Step 2: Convert to fraction form
    55,755.80/76,943.57 = 30,262.38/x
  3. Step 3: Cross multiply
    55,755.80x = 76,943.57 × 30,262.38
  4. Step 4: Simplify right side
    55,755.80x = 2,328,495,402.58
  5. Step 5: Solve for x
    x = 2,328,495,402.58/55,755.80
  6. Step 6: Final answer
    x = 41,762.39

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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.