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Finding the Fourth Proportional to 74,272.50, 102,496.59 and 40,738.50

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Solution

The fourth proportional to 74,272.50, 102,496.59 and 40,738.50 is: 56,219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,272.50 : 102,496.59 = 40,738.50 : x
  2. Step 2: Convert to fraction form
    74,272.50/102,496.59 = 40,738.50/x
  3. Step 3: Cross multiply
    74,272.50x = 102,496.59 × 40,738.50
  4. Step 4: Simplify right side
    74,272.50x = 4,175,557,331.72
  5. Step 5: Solve for x
    x = 4,175,557,331.72/74,272.50
  6. Step 6: Final answer
    x = 56,219.43

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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.