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Finding the Fourth Proportional to 71,056.62, 106,559.91 and 23,658.84

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Solution

The fourth proportional to 71,056.62, 106,559.91 and 23,658.84 is: 35,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,056.62 : 106,559.91 = 23,658.84 : x
  2. Step 2: Convert to fraction form
    71,056.62/106,559.91 = 23,658.84/x
  3. Step 3: Cross multiply
    71,056.62x = 106,559.91 × 23,658.84
  4. Step 4: Simplify right side
    71,056.62x = 2,521,083,861.10
  5. Step 5: Solve for x
    x = 2,521,083,861.10/71,056.62
  6. Step 6: Final answer
    x = 35,479.93

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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.