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Finding the Fourth Proportional to 36,788, 55,050.72 and 31,874.48

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Solution

The fourth proportional to 36,788, 55,050.72 and 31,874.48 is: 47,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,788 : 55,050.72 = 31,874.48 : x
  2. Step 2: Convert to fraction form
    36,788/55,050.72 = 31,874.48/x
  3. Step 3: Cross multiply
    36,788x = 55,050.72 × 31,874.48
  4. Step 4: Simplify right side
    36,788x = 1,754,713,073.63
  5. Step 5: Solve for x
    x = 1,754,713,073.63/36,788
  6. Step 6: Final answer
    x = 47,697.97

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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.