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Finding the Fourth Proportional to 71,589.66, 107,393.13 and 19,000.14

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Solution

The fourth proportional to 71,589.66, 107,393.13 and 19,000.14 is: 28,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,589.66 : 107,393.13 = 19,000.14 : x
  2. Step 2: Convert to fraction form
    71,589.66/107,393.13 = 19,000.14/x
  3. Step 3: Cross multiply
    71,589.66x = 107,393.13 × 19,000.14
  4. Step 4: Simplify right side
    71,589.66x = 2,040,484,505.04
  5. Step 5: Solve for x
    x = 2,040,484,505.04/71,589.66
  6. Step 6: Final answer
    x = 28,502.50

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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.