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Finding the Fourth Proportional to 45,662.64, 68,493.12 and 14,497.92

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Solution

The fourth proportional to 45,662.64, 68,493.12 and 14,497.92 is: 21,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,662.64 : 68,493.12 = 14,497.92 : x
  2. Step 2: Convert to fraction form
    45,662.64/68,493.12 = 14,497.92/x
  3. Step 3: Cross multiply
    45,662.64x = 68,493.12 × 14,497.92
  4. Step 4: Simplify right side
    45,662.64x = 993,007,774.31
  5. Step 5: Solve for x
    x = 993,007,774.31/45,662.64
  6. Step 6: Final answer
    x = 21,746.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.