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Finding the Fourth Proportional to 37,814.56, 56,709.68 and 12,508.45

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Solution

The fourth proportional to 37,814.56, 56,709.68 and 12,508.45 is: 18,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,814.56 : 56,709.68 = 12,508.45 : x
  2. Step 2: Convert to fraction form
    37,814.56/56,709.68 = 12,508.45/x
  3. Step 3: Cross multiply
    37,814.56x = 56,709.68 × 12,508.45
  4. Step 4: Simplify right side
    37,814.56x = 709,349,992.48
  5. Step 5: Solve for x
    x = 709,349,992.48/37,814.56
  6. Step 6: Final answer
    x = 18,758.65

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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.