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Finding the Fourth Proportional to 92,367.44, 138,522 and 39,762.80

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Solution

The fourth proportional to 92,367.44, 138,522 and 39,762.80 is: 59,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,367.44 : 138,522 = 39,762.80 : x
  2. Step 2: Convert to fraction form
    92,367.44/138,522 = 39,762.80/x
  3. Step 3: Cross multiply
    92,367.44x = 138,522 × 39,762.80
  4. Step 4: Simplify right side
    92,367.44x = 5,508,022,581.60
  5. Step 5: Solve for x
    x = 5,508,022,581.60/92,367.44
  6. Step 6: Final answer
    x = 59,631.65

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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.