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Finding the Fourth Proportional to 74,503.41, 102,814.71 and 40,969.41

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Solution

The fourth proportional to 74,503.41, 102,814.71 and 40,969.41 is: 56,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,503.41 : 102,814.71 = 40,969.41 : x
  2. Step 2: Convert to fraction form
    74,503.41/102,814.71 = 40,969.41/x
  3. Step 3: Cross multiply
    74,503.41x = 102,814.71 × 40,969.41
  4. Step 4: Simplify right side
    74,503.41x = 4,212,257,468.83
  5. Step 5: Solve for x
    x = 4,212,257,468.83/74,503.41
  6. Step 6: Final answer
    x = 56,537.78

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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.