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Finding the Fourth Proportional to 42,813.92, 64,204.24 and 14,728.64

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Solution

The fourth proportional to 42,813.92, 64,204.24 and 14,728.64 is: 22,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,813.92 : 64,204.24 = 14,728.64 : x
  2. Step 2: Convert to fraction form
    42,813.92/64,204.24 = 14,728.64/x
  3. Step 3: Cross multiply
    42,813.92x = 64,204.24 × 14,728.64
  4. Step 4: Simplify right side
    42,813.92x = 945,641,137.43
  5. Step 5: Solve for x
    x = 945,641,137.43/42,813.92
  6. Step 6: Final answer
    x = 22,087.24

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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.