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Finding the Fourth Proportional to 72,952.94, 109,353.53 and 30,797.84

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Solution

The fourth proportional to 72,952.94, 109,353.53 and 30,797.84 is: 46,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,952.94 : 109,353.53 = 30,797.84 : x
  2. Step 2: Convert to fraction form
    72,952.94/109,353.53 = 30,797.84/x
  3. Step 3: Cross multiply
    72,952.94x = 109,353.53 × 30,797.84
  4. Step 4: Simplify right side
    72,952.94x = 3,367,852,520.38
  5. Step 5: Solve for x
    x = 3,367,852,520.38/72,952.94
  6. Step 6: Final answer
    x = 46,164.73

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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.