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Finding the Fourth Proportional to 45,197.76, 67,797.64 and 31,816.08

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Solution

The fourth proportional to 45,197.76, 67,797.64 and 31,816.08 is: 47,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,197.76 : 67,797.64 = 31,816.08 : x
  2. Step 2: Convert to fraction form
    45,197.76/67,797.64 = 31,816.08/x
  3. Step 3: Cross multiply
    45,197.76x = 67,797.64 × 31,816.08
  4. Step 4: Simplify right side
    45,197.76x = 2,157,055,138.05
  5. Step 5: Solve for x
    x = 2,157,055,138.05/45,197.76
  6. Step 6: Final answer
    x = 47,724.82

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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.