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Finding the Fourth Proportional to 45,785.30, 68,656.80 and 20,824.34

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Solution

The fourth proportional to 45,785.30, 68,656.80 and 20,824.34 is: 31,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,785.30 : 68,656.80 = 20,824.34 : x
  2. Step 2: Convert to fraction form
    45,785.30/68,656.80 = 20,824.34/x
  3. Step 3: Cross multiply
    45,785.30x = 68,656.80 × 20,824.34
  4. Step 4: Simplify right side
    45,785.30x = 1,429,732,546.51
  5. Step 5: Solve for x
    x = 1,429,732,546.51/45,785.30
  6. Step 6: Final answer
    x = 31,226.89

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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.