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Finding the Fourth Proportional to 50,591.84, 75,926.48 and 22,909.28

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Solution

The fourth proportional to 50,591.84, 75,926.48 and 22,909.28 is: 34,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,591.84 : 75,926.48 = 22,909.28 : x
  2. Step 2: Convert to fraction form
    50,591.84/75,926.48 = 22,909.28/x
  3. Step 3: Cross multiply
    50,591.84x = 75,926.48 × 22,909.28
  4. Step 4: Simplify right side
    50,591.84x = 1,739,420,989.73
  5. Step 5: Solve for x
    x = 1,739,420,989.73/50,591.84
  6. Step 6: Final answer
    x = 34,381.45

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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.