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Finding the Fourth Proportional to 37,676.86, 51,994.50 and 23,537.92

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Solution

The fourth proportional to 37,676.86, 51,994.50 and 23,537.92 is: 32,482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,676.86 : 51,994.50 = 23,537.92 : x
  2. Step 2: Convert to fraction form
    37,676.86/51,994.50 = 23,537.92/x
  3. Step 3: Cross multiply
    37,676.86x = 51,994.50 × 23,537.92
  4. Step 4: Simplify right side
    37,676.86x = 1,223,842,381.44
  5. Step 5: Solve for x
    x = 1,223,842,381.44/37,676.86
  6. Step 6: Final answer
    x = 32,482.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.