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Finding the Fourth Proportional to 75,861.76, 113,807.34 and 29,111

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Solution

The fourth proportional to 75,861.76, 113,807.34 and 29,111 is: 43,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,861.76 : 113,807.34 = 29,111 : x
  2. Step 2: Convert to fraction form
    75,861.76/113,807.34 = 29,111/x
  3. Step 3: Cross multiply
    75,861.76x = 113,807.34 × 29,111
  4. Step 4: Simplify right side
    75,861.76x = 3,313,045,474.74
  5. Step 5: Solve for x
    x = 3,313,045,474.74/75,861.76
  6. Step 6: Final answer
    x = 43,672.14

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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.