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Finding the Fourth Proportional to 37,642.37, 56,451.65 and 12,676.57

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Solution

The fourth proportional to 37,642.37, 56,451.65 and 12,676.57 is: 19,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642.37 : 56,451.65 = 12,676.57 : x
  2. Step 2: Convert to fraction form
    37,642.37/56,451.65 = 12,676.57/x
  3. Step 3: Cross multiply
    37,642.37x = 56,451.65 × 12,676.57
  4. Step 4: Simplify right side
    37,642.37x = 715,613,088.33
  5. Step 5: Solve for x
    x = 715,613,088.33/37,642.37
  6. Step 6: Final answer
    x = 19,010.84

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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.