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Finding the Fourth Proportional to 71,505.99, 107,189.19 and 34,055.91

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Solution

The fourth proportional to 71,505.99, 107,189.19 and 34,055.91 is: 51,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,505.99 : 107,189.19 = 34,055.91 : x
  2. Step 2: Convert to fraction form
    71,505.99/107,189.19 = 34,055.91/x
  3. Step 3: Cross multiply
    71,505.99x = 107,189.19 × 34,055.91
  4. Step 4: Simplify right side
    71,505.99x = 3,650,425,407.61
  5. Step 5: Solve for x
    x = 3,650,425,407.61/71,505.99
  6. Step 6: Final answer
    x = 51,050.62

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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.