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Finding the Fourth Proportional to 37,733.64, 56,606.58 and 12,775.20

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Solution

The fourth proportional to 37,733.64, 56,606.58 and 12,775.20 is: 19,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,733.64 : 56,606.58 = 12,775.20 : x
  2. Step 2: Convert to fraction form
    37,733.64/56,606.58 = 12,775.20/x
  3. Step 3: Cross multiply
    37,733.64x = 56,606.58 × 12,775.20
  4. Step 4: Simplify right side
    37,733.64x = 723,160,380.82
  5. Step 5: Solve for x
    x = 723,160,380.82/37,733.64
  6. Step 6: Final answer
    x = 19,164.87

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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.