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Finding the Fourth Proportional to 68,176.38, 94,057.26 and 42,322.80

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Solution

The fourth proportional to 68,176.38, 94,057.26 and 42,322.80 is: 58,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,176.38 : 94,057.26 = 42,322.80 : x
  2. Step 2: Convert to fraction form
    68,176.38/94,057.26 = 42,322.80/x
  3. Step 3: Cross multiply
    68,176.38x = 94,057.26 × 42,322.80
  4. Step 4: Simplify right side
    68,176.38x = 3,980,766,603.53
  5. Step 5: Solve for x
    x = 3,980,766,603.53/68,176.38
  6. Step 6: Final answer
    x = 58,389.23

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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.