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Finding the Fourth Proportional to 73,505.64, 110,294.94 and 29,131.41

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Solution

The fourth proportional to 73,505.64, 110,294.94 and 29,131.41 is: 43,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,505.64 : 110,294.94 = 29,131.41 : x
  2. Step 2: Convert to fraction form
    73,505.64/110,294.94 = 29,131.41/x
  3. Step 3: Cross multiply
    73,505.64x = 110,294.94 × 29,131.41
  4. Step 4: Simplify right side
    73,505.64x = 3,213,047,118.07
  5. Step 5: Solve for x
    x = 3,213,047,118.07/73,505.64
  6. Step 6: Final answer
    x = 43,711.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.