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Finding the Fourth Proportional to 67,014.39, 92,467 and 42,828

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Solution

The fourth proportional to 67,014.39, 92,467 and 42,828 is: 59,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,014.39 : 92,467 = 42,828 : x
  2. Step 2: Convert to fraction form
    67,014.39/92,467 = 42,828/x
  3. Step 3: Cross multiply
    67,014.39x = 92,467 × 42,828
  4. Step 4: Simplify right side
    67,014.39x = 3,960,176,676
  5. Step 5: Solve for x
    x = 3,960,176,676/67,014.39
  6. Step 6: Final answer
    x = 59,094.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.