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Finding the Fourth Proportional to 45,638.30, 68,463.94 and 14,051

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Solution

The fourth proportional to 45,638.30, 68,463.94 and 14,051 is: 21,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,638.30 : 68,463.94 = 14,051 : x
  2. Step 2: Convert to fraction form
    45,638.30/68,463.94 = 14,051/x
  3. Step 3: Cross multiply
    45,638.30x = 68,463.94 × 14,051
  4. Step 4: Simplify right side
    45,638.30x = 961,986,820.94
  5. Step 5: Solve for x
    x = 961,986,820.94/45,638.30
  6. Step 6: Final answer
    x = 21,078.50

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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.