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Finding the Fourth Proportional to 100,527.86, 150,747.51 and 47,235

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Solution

The fourth proportional to 100,527.86, 150,747.51 and 47,235 is: 70,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,527.86 : 150,747.51 = 47,235 : x
  2. Step 2: Convert to fraction form
    100,527.86/150,747.51 = 47,235/x
  3. Step 3: Cross multiply
    100,527.86x = 150,747.51 × 47,235
  4. Step 4: Simplify right side
    100,527.86x = 7,120,558,634.85
  5. Step 5: Solve for x
    x = 7,120,558,634.85/100,527.86
  6. Step 6: Final answer
    x = 70,831.69

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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.