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Finding the Fourth Proportional to 71,502.84, 107,255.34 and 34,066.80

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Solution

The fourth proportional to 71,502.84, 107,255.34 and 34,066.80 is: 51,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502.84 : 107,255.34 = 34,066.80 : x
  2. Step 2: Convert to fraction form
    71,502.84/107,255.34 = 34,066.80/x
  3. Step 3: Cross multiply
    71,502.84x = 107,255.34 × 34,066.80
  4. Step 4: Simplify right side
    71,502.84x = 3,653,846,216.71
  5. Step 5: Solve for x
    x = 3,653,846,216.71/71,502.84
  6. Step 6: Final answer
    x = 51,100.71

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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.