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Finding the Fourth Proportional to 50,344.40, 75,430.20 and 32,805.20

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Solution

The fourth proportional to 50,344.40, 75,430.20 and 32,805.20 is: 49,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,344.40 : 75,430.20 = 32,805.20 : x
  2. Step 2: Convert to fraction form
    50,344.40/75,430.20 = 32,805.20/x
  3. Step 3: Cross multiply
    50,344.40x = 75,430.20 × 32,805.20
  4. Step 4: Simplify right side
    50,344.40x = 2,474,502,797.04
  5. Step 5: Solve for x
    x = 2,474,502,797.04/50,344.40
  6. Step 6: Final answer
    x = 49,151.50

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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.