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Finding the Fourth Proportional to 73,306.76, 109,975.10 and 31,186.76

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Solution

The fourth proportional to 73,306.76, 109,975.10 and 31,186.76 is: 46,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,306.76 : 109,975.10 = 31,186.76 : x
  2. Step 2: Convert to fraction form
    73,306.76/109,975.10 = 31,186.76/x
  3. Step 3: Cross multiply
    73,306.76x = 109,975.10 × 31,186.76
  4. Step 4: Simplify right side
    73,306.76x = 3,429,767,049.68
  5. Step 5: Solve for x
    x = 3,429,767,049.68/73,306.76
  6. Step 6: Final answer
    x = 46,786.50

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1.5x scale

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.