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Finding the Fourth Proportional to 71,846.60, 107,827.30 and 42,289.29

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Solution

The fourth proportional to 71,846.60, 107,827.30 and 42,289.29 is: 63,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,846.60 : 107,827.30 = 42,289.29 : x
  2. Step 2: Convert to fraction form
    71,846.60/107,827.30 = 42,289.29/x
  3. Step 3: Cross multiply
    71,846.60x = 107,827.30 × 42,289.29
  4. Step 4: Simplify right side
    71,846.60x = 4,559,940,012.48
  5. Step 5: Solve for x
    x = 4,559,940,012.48/71,846.60
  6. Step 6: Final answer
    x = 63,467.73

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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.