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Finding the Fourth Proportional to 37,999.63, 56,999.64 and 10,297.63

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Solution

The fourth proportional to 37,999.63, 56,999.64 and 10,297.63 is: 15,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.63 : 56,999.64 = 10,297.63 : x
  2. Step 2: Convert to fraction form
    37,999.63/56,999.64 = 10,297.63/x
  3. Step 3: Cross multiply
    37,999.63x = 56,999.64 × 10,297.63
  4. Step 4: Simplify right side
    37,999.63x = 586,960,917.86
  5. Step 5: Solve for x
    x = 586,960,917.86/37,999.63
  6. Step 6: Final answer
    x = 15,446.49

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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.