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Finding the Fourth Proportional to 50,409.96, 75,614.94 and 13,473

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Solution

The fourth proportional to 50,409.96, 75,614.94 and 13,473 is: 20,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409.96 : 75,614.94 = 13,473 : x
  2. Step 2: Convert to fraction form
    50,409.96/75,614.94 = 13,473/x
  3. Step 3: Cross multiply
    50,409.96x = 75,614.94 × 13,473
  4. Step 4: Simplify right side
    50,409.96x = 1,018,760,086.62
  5. Step 5: Solve for x
    x = 1,018,760,086.62/50,409.96
  6. Step 6: Final answer
    x = 20,209.50

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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.