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Finding the Fourth Proportional to 46,435.64, 69,665.22 and 21,493.64

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Solution

The fourth proportional to 46,435.64, 69,665.22 and 21,493.64 is: 32,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,435.64 : 69,665.22 = 21,493.64 : x
  2. Step 2: Convert to fraction form
    46,435.64/69,665.22 = 21,493.64/x
  3. Step 3: Cross multiply
    46,435.64x = 69,665.22 × 21,493.64
  4. Step 4: Simplify right side
    46,435.64x = 1,497,358,810.87
  5. Step 5: Solve for x
    x = 1,497,358,810.87/46,435.64
  6. Step 6: Final answer
    x = 32,245.90

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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.