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Finding the Fourth Proportional to 67,102.26, 92,564.16 and 42,528.12

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Solution

The fourth proportional to 67,102.26, 92,564.16 and 42,528.12 is: 58,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,102.26 : 92,564.16 = 42,528.12 : x
  2. Step 2: Convert to fraction form
    67,102.26/92,564.16 = 42,528.12/x
  3. Step 3: Cross multiply
    67,102.26x = 92,564.16 × 42,528.12
  4. Step 4: Simplify right side
    67,102.26x = 3,936,579,241.36
  5. Step 5: Solve for x
    x = 3,936,579,241.36/67,102.26
  6. Step 6: Final answer
    x = 58,665.38

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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.