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Finding the Fourth Proportional to 73,133.94, 109,679.18 and 31,013.40

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Solution

The fourth proportional to 73,133.94, 109,679.18 and 31,013.40 is: 46,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,133.94 : 109,679.18 = 31,013.40 : x
  2. Step 2: Convert to fraction form
    73,133.94/109,679.18 = 31,013.40/x
  3. Step 3: Cross multiply
    73,133.94x = 109,679.18 × 31,013.40
  4. Step 4: Simplify right side
    73,133.94x = 3,401,524,125.95
  5. Step 5: Solve for x
    x = 3,401,524,125.95/73,133.94
  6. Step 6: Final answer
    x = 46,510.88

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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.