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Finding the Fourth Proportional to 120,755.52, 181,133.28 and 37,656

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Solution

The fourth proportional to 120,755.52, 181,133.28 and 37,656 is: 56,484

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,755.52 : 181,133.28 = 37,656 : x
  2. Step 2: Convert to fraction form
    120,755.52/181,133.28 = 37,656/x
  3. Step 3: Cross multiply
    120,755.52x = 181,133.28 × 37,656
  4. Step 4: Simplify right side
    120,755.52x = 6,820,754,791.68
  5. Step 5: Solve for x
    x = 6,820,754,791.68/120,755.52
  6. Step 6: Final answer
    x = 56,484

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.