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Finding the Fourth Proportional to 45,762.94, 68,651.25 and 14,175.84

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Solution

The fourth proportional to 45,762.94, 68,651.25 and 14,175.84 is: 21,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,762.94 : 68,651.25 = 14,175.84 : x
  2. Step 2: Convert to fraction form
    45,762.94/68,651.25 = 14,175.84/x
  3. Step 3: Cross multiply
    45,762.94x = 68,651.25 × 14,175.84
  4. Step 4: Simplify right side
    45,762.94x = 973,189,340.08
  5. Step 5: Solve for x
    x = 973,189,340.08/45,762.94
  6. Step 6: Final answer
    x = 21,265.88

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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.