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Finding the Fourth Proportional to 71,514.84, 107,289.94 and 50,496.06

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Solution

The fourth proportional to 71,514.84, 107,289.94 and 50,496.06 is: 75,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,514.84 : 107,289.94 = 50,496.06 : x
  2. Step 2: Convert to fraction form
    71,514.84/107,289.94 = 50,496.06/x
  3. Step 3: Cross multiply
    71,514.84x = 107,289.94 × 50,496.06
  4. Step 4: Simplify right side
    71,514.84x = 5,417,719,247.64
  5. Step 5: Solve for x
    x = 5,417,719,247.64/71,514.84
  6. Step 6: Final answer
    x = 75,756.57

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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.