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Finding the Fourth Proportional to 51,812, 77,742.60 and 22,238.30

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Solution

The fourth proportional to 51,812, 77,742.60 and 22,238.30 is: 33,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,812 : 77,742.60 = 22,238.30 : x
  2. Step 2: Convert to fraction form
    51,812/77,742.60 = 22,238.30/x
  3. Step 3: Cross multiply
    51,812x = 77,742.60 × 22,238.30
  4. Step 4: Simplify right side
    51,812x = 1,728,863,261.58
  5. Step 5: Solve for x
    x = 1,728,863,261.58/51,812
  6. Step 6: Final answer
    x = 33,368.01

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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.