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Finding the Fourth Proportional to 70,756.62, 106,049.49 and 31,268.94

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Solution

The fourth proportional to 70,756.62, 106,049.49 and 31,268.94 is: 46,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,756.62 : 106,049.49 = 31,268.94 : x
  2. Step 2: Convert to fraction form
    70,756.62/106,049.49 = 31,268.94/x
  3. Step 3: Cross multiply
    70,756.62x = 106,049.49 × 31,268.94
  4. Step 4: Simplify right side
    70,756.62x = 3,316,055,139.84
  5. Step 5: Solve for x
    x = 3,316,055,139.84/70,756.62
  6. Step 6: Final answer
    x = 46,865.65

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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.