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Finding the Fourth Proportional to 37,536.60, 56,298.02 and 13,839

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Solution

The fourth proportional to 37,536.60, 56,298.02 and 13,839 is: 20,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,536.60 : 56,298.02 = 13,839 : x
  2. Step 2: Convert to fraction form
    37,536.60/56,298.02 = 13,839/x
  3. Step 3: Cross multiply
    37,536.60x = 56,298.02 × 13,839
  4. Step 4: Simplify right side
    37,536.60x = 779,108,298.78
  5. Step 5: Solve for x
    x = 779,108,298.78/37,536.60
  6. Step 6: Final answer
    x = 20,755.96

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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.