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Finding the Fourth Proportional to 73,158.47, 109,742.84 and 31,033.78

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Solution

The fourth proportional to 73,158.47, 109,742.84 and 31,033.78 is: 46,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,158.47 : 109,742.84 = 31,033.78 : x
  2. Step 2: Convert to fraction form
    73,158.47/109,742.84 = 31,033.78/x
  3. Step 3: Cross multiply
    73,158.47x = 109,742.84 × 31,033.78
  4. Step 4: Simplify right side
    73,158.47x = 3,405,734,915.57
  5. Step 5: Solve for x
    x = 3,405,734,915.57/73,158.47
  6. Step 6: Final answer
    x = 46,552.84

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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.