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Finding the Fourth Proportional to 71,723.78, 107,576.82 and 29,598.40

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Solution

The fourth proportional to 71,723.78, 107,576.82 and 29,598.40 is: 44,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,723.78 : 107,576.82 = 29,598.40 : x
  2. Step 2: Convert to fraction form
    71,723.78/107,576.82 = 29,598.40/x
  3. Step 3: Cross multiply
    71,723.78x = 107,576.82 × 29,598.40
  4. Step 4: Simplify right side
    71,723.78x = 3,184,101,433.52
  5. Step 5: Solve for x
    x = 3,184,101,433.52/71,723.78
  6. Step 6: Final answer
    x = 44,393.95

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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.