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Finding the Fourth Proportional to 45,441, 68,167.71 and 15,854.49

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Solution

The fourth proportional to 45,441, 68,167.71 and 15,854.49 is: 23,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,441 : 68,167.71 = 15,854.49 : x
  2. Step 2: Convert to fraction form
    45,441/68,167.71 = 15,854.49/x
  3. Step 3: Cross multiply
    45,441x = 68,167.71 × 15,854.49
  4. Step 4: Simplify right side
    45,441x = 1,080,764,276.52
  5. Step 5: Solve for x
    x = 1,080,764,276.52/45,441
  6. Step 6: Final answer
    x = 23,783.90

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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.