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Finding the Fourth Proportional to 71,838.41, 107,794.05 and 32,386.74

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Solution

The fourth proportional to 71,838.41, 107,794.05 and 32,386.74 is: 48,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,838.41 : 107,794.05 = 32,386.74 : x
  2. Step 2: Convert to fraction form
    71,838.41/107,794.05 = 32,386.74/x
  3. Step 3: Cross multiply
    71,838.41x = 107,794.05 × 32,386.74
  4. Step 4: Simplify right side
    71,838.41x = 3,491,097,870.90
  5. Step 5: Solve for x
    x = 3,491,097,870.90/71,838.41
  6. Step 6: Final answer
    x = 48,596.54

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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.