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Finding the Fourth Proportional to 36,703.60, 50,622.78 and 24,748

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Solution

The fourth proportional to 36,703.60, 50,622.78 and 24,748 is: 34,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,703.60 : 50,622.78 = 24,748 : x
  2. Step 2: Convert to fraction form
    36,703.60/50,622.78 = 24,748/x
  3. Step 3: Cross multiply
    36,703.60x = 50,622.78 × 24,748
  4. Step 4: Simplify right side
    36,703.60x = 1,252,812,559.44
  5. Step 5: Solve for x
    x = 1,252,812,559.44/36,703.60
  6. Step 6: Final answer
    x = 34,133.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.